113 (number) explained

Number:	113
Factorization:	prime
Prime:	30th
Divisor:	1, 113

113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.

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] an emirp, an isolated prime, a Chen prime^[2] and a Proth prime as it is a prime number of the form

7 x 2 ^{4} +1 . 113 is also an Eisenstein prime with no imaginary part and real part of the form 3 n - 1 . In decimal, 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]
• 113 is the denominator of 355/113, an accurate approximation to .

Other fields

113 is also the atomic number of nihonium.

See also

• 113 (disambiguation)
• A113 is a Pixar recurring inside joke or Easter Egg, e.g.: (WALL-E) = (W-A113).

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134

Notes and References

1. Web site: Sloane's A005384 : Sophie Germain primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-26.
2. Web site: Sloane's A109611 : Chen primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-26.
3. Web site: Sloane's A072857 : Primeval numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-26.
4. Web site: Sloane's A100827 : Highly cototient numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-26.
5. Web site: Sloane's A001844 : Centered square numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-26.