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, an emirp, an isolated prime, a Chen prime and a Proth prime as it is a prime number of the form <math>7\times 2^{4}+1.</math> 113 is also an Eisenstein prime with no imaginary part and real part of the form <math>3n - 1</math>. In decimal, this prime is a primeval number and a permutable prime with 131 and 311.
- 113 is a highly cototient number and a centered square number.
- 113 is the denominator of 355/113, an accurate approximation to .
- <math>F_7(113) = \frac{113^{128} + 1}{2}</math> is the smallest generalized Fermat prime with odd base and <math>k \geq 7</math>.
Other uses
- 113 is also the atomic number of nihonium.
- A113 is a Pixar recurring inside joke or Easter Egg, e.g.: (WALL-E) = (W-A113).
- 113 is the first full-sized Bluebird bus at Essex North Shore Agricultural and Technical High School
See also
- 113 (disambiguation)
References
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134
