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231011113113 = 32112415173937
BaseRepresentation
bin1101011100100101010…
…1011101100010011001
3211002021120011110022100
43113021111131202121
512241102321104423
6254043001514013
722455446030334
oct3271125354231
9732246143270
10231011113113
1189a75829500
12389311a2909
1318a27012851
14b27692b61b
156020c27343
hex35c955d899

231011113113 has 36 divisors (see below), whose sum is σ = 375721029684. Its totient is φ = 136591910400.

The previous prime is 231011113063. The next prime is 231011113133. The reversal of 231011113113 is 311311110132.

It can be written as a sum of positive squares in 2 ways, for example, as 68498928729 + 162512184384 = 261723^2 + 403128^2 .

It is not a de Polignac number, because 231011113113 - 29 = 231011112601 is a prime.

It is a super-2 number, since 2×2310111131132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231011113133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2542320 + ... + 2631617.

It is an arithmetic number, because the mean of its divisors is an integer number (10436695269).

Almost surely, 2231011113113 is an apocalyptic number.

It is an amenable number.

231011113113 is a deficient number, since it is larger than the sum of its proper divisors (144709916571).

231011113113 is a wasteful number, since it uses less digits than its factorization.

231011113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174006 (or 5173992 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 231011113113 its reverse (311311110132), we get a palindrome (542322223245).

The spelling of 231011113113 in words is "two hundred thirty-one billion, eleven million, one hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 41 99 121 123 363 369 451 1089 1353 4059 4961 14883 44649 5173937 15521811 46565433 56913307 170739921 212131417 512219763 626046377 636394251 1878139131 1909182753 2333445587 5634417393 7000336761 21001010283 25667901457 77003704371 231011113113