Changes: 118

Revision as of 06:37, 27 July 2021

118 is the number following 117 and preceding 119.

118 is the last number n, such that 7ⁿ is smaller than a googol. Its prime factorization is 59*2.
118 is nontotient,^[1]^[2] meaning that \(\phi(x) = 118\) has no solution where \(\phi(x)\) is the Euler's totient function.^[3]

The isotope tin-118 has the most negative mass excess.

It is also the atomic number of the noble gas oganesson, the last element of period 7.

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-{{Numbers 100-199}}'''118''' is the last number ''n'', such that 7<sup>''n''</sup> is smaller than a [[googol]].
+{{Numbers 100-199}}'''118''' is the number following [[117]] and preceding [[119]].
+== Properties ==
+* 118 is the last number ''n'', such that 7<sup>''n''</sup> is smaller than a [[googol]]. Its prime factorization is 59*2.
+* 118 is {{w|nontotient}},<ref>MathWorld, [https://mathworld.wolfram.com/Nontotient.html Nontotient]</ref><ref>OEIS [https://oeis.org/A005277 A005277: Nontotients: even n such that phi(m) = n has no solution.]</ref> meaning that \(\phi(x) = 118\) has no solution where \(\phi(x)\) is the {{w|Euler's totient function}}.<ref>MathWorld, [https://mathworld.wolfram.com/TotientFunction.html Totient Function]</ref>
 == In nuclear physics ==
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 It is also the {{w|atomic number}} of the {{w|noble gas}} {{w|oganesson}}, the last element of {{w|period 7}}.
+== Sources ==
+<references />
 [[Category:Numbers]]
 [[Category:Class 1]]