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2112572112 = 243743732003
BaseRepresentation
bin111110111101011…
…0100101011010000
312110020011210010120
41331322310223100
513311304301422
6545343430240
7103231365240
oct17572645320
95406153116
102112572112
11994545772
124ab5b5380
132788a0391
141607ddb20
15c56ec45c
hex7deb4ad0

2112572112 has 160 divisors (see below), whose sum is σ = 6472823808. Its totient is φ = 581188608.

The previous prime is 2112572087. The next prime is 2112572123. The reversal of 2112572112 is 2112752112.

It is a happy number.

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

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, 1053703 + ... + 1055705.

Almost surely, 22112572112 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 2112572112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236411904).

2112572112 is an abundant number, since it is smaller than the sum of its proper divisors (4360251696).

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

2112572112 is a wasteful number, since it uses less digits than its factorization.

2112572112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 2112572112 is about 45962.7252455726. The cubic root of 2112572112 is about 1283.1295718473.

The spelling of 2112572112 in words is "two billion, one hundred twelve million, five hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 73 84 86 112 129 146 168 172 219 258 292 301 336 344 438 511 516 584 602 688 876 903 1022 1032 1168 1204 1533 1752 1806 2003 2044 2064 2408 3066 3139 3504 3612 4006 4088 4816 6009 6132 6278 7224 8012 8176 9417 12018 12264 12556 14021 14448 16024 18834 21973 24036 24528 25112 28042 32048 37668 42063 43946 48072 50224 56084 65919 75336 84126 86129 87892 96144 112168 131838 146219 150672 168252 172258 175784 224336 258387 263676 292438 336504 344516 351568 438657 516774 527352 584876 602903 673008 689032 877314 1023533 1033548 1054704 1169752 1205806 1378064 1754628 1808709 2047066 2067096 2339504 2411612 3070599 3509256 3617418 4094132 4134192 4823224 6141198 6287417 7018512 7234836 8188264 9646448 12282396 12574834 14469672 16376528 18862251 24564792 25149668 28939344 37724502 44011919 49129584 50299336 75449004 88023838 100598672 132035757 150898008 176047676 264071514 301796016 352095352 528143028 704190704 1056286056 2112572112