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102222131310312 = 23313522536270167
BaseRepresentation
bin10111001111100001110001…
…110100110010111011101000
3111101221100012002102010002220
4113033201301310302323220
5101344301411103412222
61001224110540354040
730350206464502026
oct2717416164627350
9441840162363086
10102222131310312
112a631187221162
12b56b400b45920
134506675b05470
141b35812b45716
15bc4073b3bb5c
hex5cf871d32ee8

102222131310312 has 64 divisors (see below), whose sum is σ = 275218741284480. Its totient is φ = 31452356527872.

The previous prime is 102222131310311. The next prime is 102222131310337. The reversal of 102222131310312 is 213013131222201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102222131310311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167853 + ... + 19438019.

It is an arithmetic number, because the mean of its divisors is an integer number (4300292832570).

Almost surely, 2102222131310312 is an apocalyptic number.

102222131310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222131310312 is an abundant number, since it is smaller than the sum of its proper divisors (172996609974168).

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

102222131310312 is a wasteful number, since it uses less digits than its factorization.

102222131310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322442 (or 6322438 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102222131310312 its reverse (213013131222201), we get a palindrome (315235262532513).

The spelling of 102222131310312 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thirty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 52253 104506 156759 209012 313518 418024 627036 679289 1254072 1358578 2037867 2717156 4075734 5434312 6270167 8151468 12540334 16302936 18810501 25080668 37621002 50161336 75242004 81512171 150484008 163024342 244536513 326048684 489073026 652097368 978146052 1956292104 327635036251 655270072502 982905108753 1310540145004 1965810217506 2621080290008 3931620435012 4259255471263 7863240870024 8518510942526 12777766413789 17037021885052 25555532827578 34074043770104 51111065655156 102222131310312