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102321310312 = 23136759324763
BaseRepresentation
bin101111101001011010…
…0110100101001101000
3100210002221121010100201
41133102310310221220
53134023223412222
6115001124441544
710251421534024
oct1372264645150
9323087533321
10102321310312
113a437791981
12179b72492b4
139858706540
144d49479384
1529dce1a427
hex17d2d34a68

102321310312 has 64 divisors (see below), whose sum is σ = 210056172480. Its totient is φ = 46440041472.

The previous prime is 102321310309. The next prime is 102321310327. The reversal of 102321310312 is 213013123201.

It is a self number, because there is not a number n which added to its sum of digits gives 102321310312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4119643 + ... + 4144405.

It is an arithmetic number, because the mean of its divisors is an integer number (3282127695).

Almost surely, 2102321310312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102321310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028086240).

102321310312 is an abundant number, since it is smaller than the sum of its proper divisors (107734862168).

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

102321310312 is a wasteful number, since it uses less digits than its factorization.

102321310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25442 (or 25438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102321310312 its reverse (213013123201), we get a palindrome (315334433513).

The spelling of 102321310312 in words is "one hundred two billion, three hundred twenty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 67 104 134 268 536 593 871 1186 1742 2372 3484 4744 6968 7709 15418 24763 30836 39731 49526 61672 79462 99052 158924 198104 317848 321919 516503 643838 1033006 1287676 1659121 2066012 2575352 3318242 4132024 6636484 13272968 14684459 21568573 29368918 43137146 58737836 86274292 117475672 172548584 190897967 381795934 763591868 983858753 1527183736 1967717506 3935435012 7870870024 12790163789 25580327578 51160655156 102321310312