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112203013122112 = 2611897109251903
BaseRepresentation
bin11001100000110001001100…
…101111010110100001000000
3112201021111120220101210001211
4121200301030233112201000
5104201313232324401422
61034345204100335504
732430254156216323
oct3140611457264100
9481244526353054
10112203013122112
113282a037865440
12107018420a4594
134a7b911181b93
141d9c924b327ba
15ce89d044b577
hex660c4cbd6840

112203013122112 has 112 divisors (see below), whose sum is σ = 245658695270400. Its totient is φ = 50421026754560.

The previous prime is 112203013122059. The next prime is 112203013122119. The reversal of 112203013122112 is 211221310302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112203013122119) by changing a digit.

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, 445295553 + ... + 445547455.

Almost surely, 2112203013122112 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 112203013122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122829347635200).

112203013122112 is an abundant number, since it is smaller than the sum of its proper divisors (133455682148288).

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

112203013122112 is a wasteful number, since it uses less digits than its factorization.

112203013122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259124 (or 259114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 112203013122112 its reverse (211221310302211), we get a palindrome (323424323424323).

The spelling of 112203013122112 in words is "one hundred twelve trillion, two hundred three billion, thirteen million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 176 178 352 356 704 712 979 1424 1958 2848 3916 5696 7109 7832 14218 15664 28436 31328 56872 62656 78199 113744 156398 227488 251903 312796 454976 503806 625592 632701 1007612 1251184 1265402 2015224 2502368 2530804 2770933 4030448 5004736 5061608 5541866 6959711 8060896 10123216 11083732 13919422 16121792 20246432 22167464 22419367 27838844 40492864 44334928 44838734 55677688 88669856 89677468 111355376 177339712 179354936 222710752 246613037 358709872 445421504 493226074 717419744 986452148 1434839488 1790778427 1972904296 3581556854 3945808592 7163113708 7891617184 14326227416 15783234368 19698562697 28652454832 39397125394 57304909664 78794250788 114609819328 157588501576 159379280003 315177003152 318758560006 630354006304 637517120012 1260708012608 1275034240024 1753172080033 2550068480048 3506344160066 5100136960096 7012688320132 10200273920192 14025376640264 28050753280528 56101506561056 112203013122112