# 118

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## Number

$118$ (**one hundred and eighteen**) is:

- $2 \times 59$

- The $37$th semiprime:
- $118 = 2 \times 59$

- The $15$th nontotient after $14$, $26$, $34$, $38$, $50$, $62$, $68$, $74$, $76$, $86$, $90$, $94$, $98$, $114$:
- $\nexists m \in \Z_{>0}: \map \phi m = 118$

- where $\phi \left({m}\right)$ denotes the Euler $\phi$ function

- The $4$th term of the $2$nd $5$-tuple of consecutive integers have the property that they are not values of the $\sigma$ function $\map \sigma n$ for any $n$:
- $\tuple {115, 116, 117, 118, 119}$

- The smallest positive integer which is the sum of $4$ distinct ordered triples, each of which has the same product:
- $118 = 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72$

- each of which has a product of $37 \, 800$

## Also see

*Previous ... Next*: Nontotient*Previous ... Next*: Semiprime Number*Previous ... Next*: Quintuplets of Consecutive Integers which are not Sigma Values

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $118$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $118$