# 117 (number)

 ← 116 117 118 →
Cardinal one hundred seventeen
Ordinal 117th
(one hundred and seventeenth)
Factorization 32× 13
Divisors 1, 3, 9, 13, 39, 117
Roman numeral CXVII
Binary 11101012
Ternary 111003
Quaternary 13114
Quinary 4325
Senary 3136
Octal 1658
Duodecimal 9912
Vigesimal 5H20
Base 36 3936

117 (one hundred [and] seventeen) is the natural number following 116 and preceding 118.

## In mathematics

117 is the smallest possible length of the longest side of a Heronian tetrahedron (one whose sides are all rational numbers).[1][2]

117 is a pentagonal number.[3]

In base 10, 117 is a Harshad number.[4]

## In other fields

One hundred seventeen is also:

## References

1. Ivars Peterson, "Perfect Pyramids" MAA Online July 28, 2003
2. Weisstein, Eric W. "Heronian Tetrahedron." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/HeronianTetrahedron.html
3. "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
4. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
5. Niederman, Derrick (2009), Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed, Penguin, p. 10, ISBN 9781101135488.
6. Alvarez, Chito (July 22, 2016). "DILG to implement 'Emergency hotline 911' in August". Manila Bulletin. Retrieved July 29, 2016.