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113112100431 = 3311739515357
BaseRepresentation
bin110100101011000000…
…0011010111001001111
3101210221222101001121000
41221112000122321033
53323123144203211
6123544000511343
711113010663361
oct1512600327117
9353858331530
10113112100431
1143a74917240
1219b0901b553
13a8881a0855
14569064ad31
152e20431656
hex1a5601ae4f

113112100431 has 32 divisors (see below), whose sum is σ = 183055161600. Its totient is φ = 68459891040.

The previous prime is 113112100429. The next prime is 113112100447. The reversal of 113112100431 is 134001211311.

It is a happy number.

113112100431 is a `hidden beast` number, since 1 + 13 + 11 + 210 + 0 + 431 = 666.

It is not a de Polignac number, because 113112100431 - 21 = 113112100429 is a prime.

It is a super-2 number, since 2×1131121004312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112100421) 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, 38196 + ... + 477161.

It is an arithmetic number, because the mean of its divisors is an integer number (5720473800).

Almost surely, 2113112100431 is an apocalyptic number.

113112100431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113112100431 is a deficient number, since it is larger than the sum of its proper divisors (69943061169).

113112100431 is a wasteful number, since it uses less digits than its factorization.

113112100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516116 (or 516110 counting only the distinct ones).

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

Adding to 113112100431 its reverse (134001211311), we get a palindrome (247113311742).

The spelling of 113112100431 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 739 2217 6651 8129 19953 24387 73161 219483 515357 1546071 4638213 5668927 13914639 17006781 51020343 153061029 380848823 1142546469 3427639407 4189337053 10282918221 12568011159 37704033477 113112100431