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10113202131 = 317223394987
BaseRepresentation
bin10010110101100101…
…10011011111010011
3222002210202220020220
421122302303133103
5131202434432011
64351305004123
7505420541214
oct113262633723
928083686226
1010113202131
11431a70349a
121b62a83643
13c522a4196
146bd1cd40b
153e2cbe506
hex25acb37d3

10113202131 has 24 divisors (see below), whose sum is σ = 14333117760. Its totient is φ = 6341553792.

The previous prime is 10113202091. The next prime is 10113202153. The reversal of 10113202131 is 13120231101.

It is a happy number.

It is not a de Polignac number, because 10113202131 - 27 = 10113202003 is a prime.

It is a super-3 number, since 3×101132021313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10113202131.

It is not an unprimeable number, because it can be changed into a prime (10113202031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025420 + ... + 2030406.

It is an arithmetic number, because the mean of its divisors is an integer number (597213240).

Almost surely, 210113202131 is an apocalyptic number.

10113202131 is a deficient number, since it is larger than the sum of its proper divisors (4219915629).

10113202131 is a wasteful number, since it uses less digits than its factorization.

10113202131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10113202131 its reverse (13120231101), we get a palindrome (23233433232).

The spelling of 10113202131 in words is "ten billion, one hundred thirteen million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 17 51 289 867 2339 4987 7017 14961 39763 84779 119289 254337 675971 1441243 2027913 4323729 11664593 34993779 198298081 594894243 3371067377 10113202131