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112013123131 = 71317157487947
BaseRepresentation
bin110100001010010000…
…0001001111000111011
3101201010101110020011001
41220110200021320323
53313400324420011
6123242541545431
711043534560050
oct1502440117073
9351111406131
10112013123131
1143560540338
1219860b75277
13a7415ba520
1455c86d7027
152da8bed7c1
hex1a14809e3b

112013123131 has 64 divisors (see below), whose sum is σ = 147358697472. Its totient is φ = 82623670272.

The previous prime is 112013123119. The next prime is 112013123141. The reversal of 112013123131 is 131321310211.

It is not a de Polignac number, because 112013123131 - 25 = 112013123099 is a prime.

It is a super-2 number, since 2×1120131231312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112013123099 and 112013123108.

It is not an unprimeable number, because it can be changed into a prime (112013123141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118281600 + ... + 118282546.

It is an arithmetic number, because the mean of its divisors is an integer number (2302479648).

Almost surely, 2112013123131 is an apocalyptic number.

112013123131 is a deficient number, since it is larger than the sum of its proper divisors (35345574341).

112013123131 is a wasteful number, since it uses less digits than its factorization.

112013123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112013123131 its reverse (131321310211), we get a palindrome (243334433342).

The spelling of 112013123131 in words is "one hundred twelve billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 17 91 119 157 221 487 947 1099 1547 2041 2669 3409 6331 6629 8279 12311 14287 16099 18683 34697 44317 57953 76459 86177 107627 112693 148679 209287 242879 461189 535213 753389 993967 1040753 1299803 1465009 1932827 2527543 3228323 5995457 6957769 7840213 9098621 13529789 16897439 17692801 32858059 41968199 54881491 72406673 101922769 118282073 230006413 506846711 713459383 941286749 1230913441 6589007243 8616394087 16001874733 112013123131