113 (number)
113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.
| ||||
|---|---|---|---|---|
[[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}} (number)|{{#switch:{{{1}}}|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0|-1|←}}|10=→|#default={{#expr:(floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] | ||||
| Cardinal | one hundred thirteen | |||
| Ordinal | 113th (one hundred thirteenth) | |||
| Factorization | prime | |||
| Prime | 30th | |||
| Divisors | 1, 113 | |||
| Greek numeral | ΡΙΓ´ | |||
| Roman numeral | CXIII | |||
| Binary | 11100012 | |||
| Ternary | 110123 | |||
| Octal | 1618 | |||
| Duodecimal | 9512 | |||
| Hexadecimal | 7116 | |||
Mathematics
- 113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime,[1] a Chen prime[2] and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is also an Eisenstein prime with no imaginary part and real part of the form . In base 10, this prime is a primeval number,[3] and a permutable prime with 131 and 311.
- 113 is a highly cototient number[4] and a centered square number.[5]
- 355/113 approximates pi to six decimal places, with an error of less than 1/1133. This means that 113/355 approximates the reciprocal of pi.
- 113 is the smallest positive integer that cannot be represented in the Four fours problem using standard rules. It can be solved using the gamma function.
Religion
Science
- 113, the atomic number of the element nihonium
- Cadmium-113m, a radioisotope and nuclear isomer with a halflife of 14.1 years
Telephony
113 is:
- The fire emergency telephone number in Indonesia
- The intelligence agency telephone number in Iran
- The medical emergency telephone number in Latvia and Norway
- The police emergency telephone number in Italy, Luxembourg, Slovenia, and Vietnam
- The time telephone number in Argentina
Other uses
- 113 (band), a French hip hop group
- 113, the port number of the IDENT Internet protocol that helps identify the user of a particular TCP connection
- 113, in enduro, is regarded as an unlucky number to be given to a race entrant and is colloquially known as a "blind pew"
References
- "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- "Sloane's A072857 : Primeval numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.