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112132131312 = 24341431325063
BaseRepresentation
bin110100001101110011…
…0001000100111110000
3101201102200101110200110
41220123212020213300
53314121311200222
6123302432421320
711046511250505
oct1503346104760
9351380343613
10112132131312
1143611734a03
12198949a7840
13a760157b76
1455da4354ac
152db43aa30c
hex1a1b9889f0

112132131312 has 80 divisors (see below), whose sum is σ = 303641065728. Its totient is φ = 35617666560.

The previous prime is 112132131283. The next prime is 112132131317. The reversal of 112132131312 is 213131231211.

It is a super-2 number, since 2×1121321313122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577908 + ... + 747155.

Almost surely, 2112132131312 is an apocalyptic number.

112132131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112132131312 is an abundant number, since it is smaller than the sum of its proper divisors (191508934416).

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

112132131312 is a wasteful number, since it uses less digits than its factorization.

112132131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325158 (or 1325152 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 112132131312 its reverse (213131231211), we get a palindrome (325263362523).

The spelling of 112132131312 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 82 86 123 129 164 172 246 258 328 344 492 516 656 688 984 1032 1763 1968 2064 3526 5289 7052 10578 14104 21156 28208 42312 84624 1325063 2650126 3975189 5300252 7950378 10600504 15900756 21201008 31801512 54327583 56977709 63603024 108655166 113955418 162982749 170933127 217310332 227910836 325965498 341866254 434620664 455821672 651930996 683732508 869241328 911643344 1303861992 1367465016 2336086069 2607723984 2734930032 4672172138 7008258207 9344344276 14016516414 18688688552 28033032828 37377377104 56066065656 112132131312