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112131312102 = 23253117538063
BaseRepresentation
bin110100001101110001…
…1000000100111100110
3101201102121211211221100
41220123203000213212
53314121103441402
6123302403100530
711046501266235
oct1503343004746
9351377754840
10112131312102
1143611225477
1219894671746
13a75cc2c024
1455da2a0b1c
152db429771c
hex1a1b8c09e6

112131312102 has 24 divisors (see below), whose sum is σ = 247535162784. Its totient is φ = 36671875344.

The previous prime is 112131312079. The next prime is 112131312151. The reversal of 112131312102 is 201213131211.

It is a super-2 number, since 2×1121313121022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 58768078 + ... + 58769985.

It is an arithmetic number, because the mean of its divisors is an integer number (10313965116).

Almost surely, 2112131312102 is an apocalyptic number.

112131312102 is an abundant number, since it is smaller than the sum of its proper divisors (135403850682).

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

112131312102 is a wasteful number, since it uses less digits than its factorization.

112131312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117538124 (or 117538121 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112131312102 its reverse (201213131211), we get a palindrome (313344443313).

The spelling of 112131312102 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 117538063 235076126 352614189 705228378 1057842567 2115685134 6229517339 12459034678 18688552017 37377104034 56065656051 112131312102