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112131433031 = 2329315423003
BaseRepresentation
bin110100001101110001…
…1011110001001000111
3101201102122001222211012
41220123203132021013
53314121121324111
6123302405432435
711046502311632
oct1503343361107
9351378058735
10112131433031
11436112a8312
121989470b71b
13a75cc72097
1455da2d2c19
152db42bd48b
hex1a1b8de247

112131433031 has 16 divisors (see below), whose sum is σ = 124946012160. Its totient is φ = 100217076960.

The previous prime is 112131433021. The next prime is 112131433097. The reversal of 112131433031 is 130334131211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112131433031 is a prime.

It is a super-2 number, since 2×1121314330312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112131432988 and 112131433006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131433021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2690825 + ... + 2732178.

It is an arithmetic number, because the mean of its divisors is an integer number (7809125760).

Almost surely, 2112131433031 is an apocalyptic number.

112131433031 is a deficient number, since it is larger than the sum of its proper divisors (12814579129).

112131433031 is a wasteful number, since it uses less digits than its factorization.

112131433031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423086.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 112131433031 its reverse (130334131211), we get a palindrome (242465564242).

The spelling of 112131433031 in words is "one hundred twelve billion, one hundred thirty-one million, four hundred thirty-three thousand, thirty-one".

Divisors: 1 23 29 31 667 713 899 20677 5423003 124729069 157267087 168113093 3617143001 3866601139 4875279697 112131433031