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10123131213 = 3213264732687
BaseRepresentation
bin10010110110110001…
…01011100101001101
3222010111110100101200
421123120223211031
5131213010144323
64352301500113
7505601124036
oct113330534515
928114410350
1010123131213
114325275348
121b66271639
13c5436c690
146c0655a8d
153e3ad1443
hex25b62b94d

10123131213 has 24 divisors (see below), whose sum is σ = 15753523968. Its totient is φ = 6227075232.

The previous prime is 10123131211. The next prime is 10123131229. The reversal of 10123131213 is 31213132101.

It is not a de Polignac number, because 10123131213 - 21 = 10123131211 is a prime.

It is a super-2 number, since 2×101231312132 (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 (10123131211) 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, 293356 + ... + 326042.

It is an arithmetic number, because the mean of its divisors is an integer number (656396832).

Almost surely, 210123131213 is an apocalyptic number.

10123131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123131213 is a deficient number, since it is larger than the sum of its proper divisors (5630392755).

10123131213 is a wasteful number, since it uses less digits than its factorization.

10123131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35353 (or 35350 counting only the distinct ones).

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

Adding to 10123131213 its reverse (31213132101), we get a palindrome (41336263314).

The spelling of 10123131213 in words is "ten billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 2647 7941 23823 32687 34411 98061 103233 294183 309699 424931 1274793 3824379 86522489 259567467 778702401 1124792357 3374377071 10123131213