Search a number
-
+
102139516685985 = 3559338934054849
BaseRepresentation
bin10111001110010100110101…
…100111000000111010100001
3111101122102221112102100210220
4113032110311213000322201
5101341423212232422420
61001122125102313253
730341223304000002
oct2716246547007241
9441572845370726
10102139516685985
112a5aa142441129
12b5573a5588829
1344cb93b0aa07c
141b31816a3d1a9
15bc1d3ad4e840
hex5ce5359c0ea1

102139516685985 has 32 divisors (see below), whose sum is σ = 166242155760000. Its totient is φ = 53535310811136.

The previous prime is 102139516685951. The next prime is 102139516686023. The reversal of 102139516685985 is 589586615931201.

It is not a de Polignac number, because 102139516685985 - 212 = 102139516681889 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14028160 + ... + 20026689.

It is an arithmetic number, because the mean of its divisors is an integer number (5195067367500).

Almost surely, 2102139516685985 is an apocalyptic number.

102139516685985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102139516685985 is a deficient number, since it is larger than the sum of its proper divisors (64102639074015).

102139516685985 is a wasteful number, since it uses less digits than its factorization.

102139516685985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34058305.

The product of its (nonzero) digits is 139968000, while the sum is 69.

The spelling of 102139516685985 in words is "one hundred two trillion, one hundred thirty-nine billion, five hundred sixteen million, six hundred eighty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 59 177 295 885 3389 10167 16945 50835 199951 599853 999755 2999265 34054849 102164547 170274245 510822735 2009236091 6027708273 10046180455 30138541365 115411883261 346235649783 577059416305 1731178248915 6809301112399 20427903337197 34046505561995 102139516685985