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112131011031 = 31373169723209
BaseRepresentation
bin110100001101110000…
…1110111000111010111
3101201102121021112221120
41220123201313013113
53314121014323111
6123302352415023
711046465603414
oct1503341670727
9351377245846
10112131011031
114361103a256
1219894547473
13a75cb54c90
1455da22310b
152db4238406
hex1a1b8771d7

112131011031 has 32 divisors (see below), whose sum is σ = 163317443520. Its totient is φ = 68015407104.

The previous prime is 112131010973. The next prime is 112131011053. The reversal of 112131011031 is 130110131211.

It is not a de Polignac number, because 112131011031 - 230 = 111057269207 is a prime.

It is a super-2 number, since 2×1121310110312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112131011031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131016031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4819755 + ... + 4842963.

It is an arithmetic number, because the mean of its divisors is an integer number (5103670110).

Almost surely, 2112131011031 is an apocalyptic number.

112131011031 is a deficient number, since it is larger than the sum of its proper divisors (51186432489).

112131011031 is a wasteful number, since it uses less digits than its factorization.

112131011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 112131011031 its reverse (130110131211), we get a palindrome (242241142242).

The spelling of 112131011031 in words is "one hundred twelve billion, one hundred thirty-one million, eleven thousand, thirty-one".

Divisors: 1 3 13 39 73 219 949 1697 2847 5091 22061 23209 66183 69627 123881 301717 371643 905151 1610453 1694257 4831359 5082771 22025341 39385673 66076023 118157019 512013749 1536041247 2875154129 8625462387 37377003677 112131011031