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312110113022112 = 253127128971198491
BaseRepresentation
bin100011011110111001100110…
…0011010101110000010100000
31111221002102202102002210012210
41012331303030122232002200
5311402103002413201422
63023445223450322120
7122512132361652426
oct10675631432560240
91457072672083183
10312110113022112
11904a217911a639
122b009045429340
131051cb1b844392
1457102d2619116
152613a7875010c
hex11bdccc6ae0a0

312110113022112 has 96 divisors (see below), whose sum is σ = 825750704185344. Its totient is φ = 103216197369600.

The previous prime is 312110113022101. The next prime is 312110113022167. The reversal of 312110113022112 is 211220311011213.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1572315187 + ... + 1572513677.

It is an arithmetic number, because the mean of its divisors is an integer number (8601569835264).

Almost surely, 2312110113022112 is an apocalyptic number.

312110113022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312110113022112 is an abundant number, since it is smaller than the sum of its proper divisors (513640591163232).

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

312110113022112 is a wasteful number, since it uses less digits than its factorization.

312110113022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327602 (or 327594 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 312110113022112 its reverse (211220311011213), we get a palindrome (523330424033325).

The spelling of 312110113022112 in words is "three hundred twelve trillion, one hundred ten billion, one hundred thirteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 128971 198491 257942 386913 396982 515884 595473 773826 793964 1031768 1190946 1547652 1587928 2063536 2381892 3095304 3175856 4127072 4763784 6190608 6351712 9527568 12381216 16379317 19055136 25208357 32758634 49137951 50416714 65517268 75625071 98275902 100833428 131034536 151250142 196551804 201666856 262069072 302500284 393103608 403333712 524138144 605000568 786207216 806667424 1210001136 1572414432 2420002272 25599582761 51199165522 76798748283 102398331044 153597496566 204796662088 307194993132 409593324176 614389986264 819186648352 1228779972528 2457559945056 3251147010647 6502294021294 9753441031941 13004588042588 19506882063882 26009176085176 39013764127764 52018352170352 78027528255528 104036704340704 156055056511056 312110113022112