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102132223031310 = 23512739316819221
BaseRepresentation
bin10111001110001110000010…
…110111111011100000001110
3111101121202010020010022112120
4113032032002313323200032
5101341313243044000220
61001114521234113410
730340544460646443
oct2716160267734016
9441552106108476
10102132223031310
112a5a703a35744a
12b555aaaa1b866
1344cb047cb8584
141b313240c19ca
15bc1a6087ba40
hex5ce382dfb80e

102132223031310 has 64 divisors (see below), whose sum is σ = 247110275211264. Its totient is φ = 27013930876800.

The previous prime is 102132223031299. The next prime is 102132223031383. The reversal of 102132223031310 is 13130322231201.

It is a super-2 number, since 2×1021322230313102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11567500 + ... + 18386720.

It is an arithmetic number, because the mean of its divisors is an integer number (3861098050176).

Almost surely, 2102132223031310 is an apocalyptic number.

102132223031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132223031310 is an abundant number, since it is smaller than the sum of its proper divisors (144978052179954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132223031310 is a wasteful number, since it uses less digits than its factorization.

102132223031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823289.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102132223031310 its reverse (13130322231201), we get a palindrome (115262545262511).

The spelling of 102132223031310 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 3810 3931 7862 11793 19655 23586 39310 58965 117930 499237 998474 1497711 2496185 2995422 4992370 6819221 7488555 13638442 14977110 20457663 34096105 40915326 68192210 102288315 204576630 866041067 1732082134 2598123201 4330205335 5196246402 8660410670 12990616005 25981232010 26806357751 53612715502 80419073253 134031788755 160838146506 268063577510 402095366265 804190732530 3404407434377 6808814868754 10213222303131 17022037171885 20426444606262 34044074343770 51066111515655 102132223031310