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10113213231 = 3311131259933
BaseRepresentation
bin10010110101100101…
…10110001100101111
3222002210210110111000
421122302312030233
5131202440310411
64351305131343
7505420615452
oct113262661457
928083713430
1010113213231
11431a710870
121b62a89b53
13c522a9254
146bd1d3499
153e2cc2956
hex25acb632f

10113213231 has 32 divisors (see below), whose sum is σ = 16469418240. Its totient is φ = 6082408800.

The previous prime is 10113213223. The next prime is 10113213259. The reversal of 10113213231 is 13231231101.

10113213231 is a `hidden beast` number, since 10 + 11 + 321 + 323 + 1 = 666.

It is not a de Polignac number, because 10113213231 - 23 = 10113213223 is a prime.

It is a super-2 number, since 2×101132132312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113213211) 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 31 ways as a sum of consecutive naturals, for example, 91060 + ... + 168873.

It is an arithmetic number, because the mean of its divisors is an integer number (514669320).

Almost surely, 210113213231 is an apocalyptic number.

10113213231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10113213231 is a deficient number, since it is larger than the sum of its proper divisors (6356205009).

10113213231 is a wasteful number, since it uses less digits than its factorization.

10113213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260084 (or 260078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113213231 its reverse (13231231101), we get a palindrome (23344444332).

The spelling of 10113213231 in words is "ten billion, one hundred thirteen million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 131 297 393 1179 1441 3537 4323 12969 38907 259933 779799 2339397 2859263 7018191 8577789 25733367 34051223 77200101 102153669 306461007 374563453 919383021 1123690359 3371071077 10113213231