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112131311232 = 273319419633
BaseRepresentation
bin110100001101110001…
…1000000011010000000
3101201102121211210202010
41220123203000122000
53314121103424412
6123302403052520
711046501263553
oct1503343003200
9351377753663
10112131311232
1143611224856
1219894671140
13a75cc2b805
1455da2a069a
152db429733c
hex1a1b8c0680

112131311232 has 64 divisors (see below), whose sum is σ = 307456853760. Its totient is φ = 36171386880.

The previous prime is 112131311147. The next prime is 112131311239. The reversal of 112131311232 is 232113131211.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 112131311199 and 112131311208.

It is not an unprimeable number, because it can be changed into a prime (112131311239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4697913 + ... + 4721720.

It is an arithmetic number, because the mean of its divisors is an integer number (4804013340).

Almost surely, 2112131311232 is an apocalyptic number.

112131311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112131311232 is an abundant number, since it is smaller than the sum of its proper divisors (195325542528).

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

112131311232 is an equidigital number, since it uses as much as digits as its factorization.

112131311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419681 (or 9419669 counting only the distinct ones).

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

Adding to 112131311232 its reverse (232113131211), we get a palindrome (344244442443).

The spelling of 112131311232 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 9419633 18839266 28258899 37678532 56517798 75357064 113035596 150714128 226071192 292008623 301428256 452142384 584017246 602856512 876025869 904284768 1168034492 1205713024 1752051738 1808569536 2336068984 3504103476 3617139072 4672137968 7008206952 9344275936 14016413904 18688551872 28032827808 37377103744 56065655616 112131311232