118 (number)
Template:Infobox number 118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119.
In mathematics
There is no answer to the equation φ(x) = 118, making 118 a nontotient.<ref>Template:Cite OEIS</ref>
Four expressions for 118 as the sum of three positive integers have the same product:
- 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72 = 118 and
- 14 × 50 × 54 = 15 × 40 × 63 = 18 × 30 × 70 = 21 × 25 × 72 = 37800.
118 is the smallest number that can be expressed as four sums with the same product in this way.<ref>Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135</ref>
Because of its expression as Template:Nowrap, it is a Leyland number of the second kind.<ref>Template:Cite OEIS</ref>
118!! - 1 is a prime number, where !! denotes the double factorial (the product of even integers up to 118).<ref>Template:Cite OEIS</ref>
See also
References
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