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13112312364 = 22321721425347
BaseRepresentation
bin11000011011000111…
…00000001000101100
31020211211010111001200
430031203200020230
5203323222443424
610005042205500
7642635546634
oct141543401054
936754114050
1013112312364
115619616398
12265b353890
13130c736718
148c56436c4
1551b2398c9
hex30d8e022c

13112312364 has 36 divisors (see below), whose sum is σ = 35094720024. Its totient is φ = 4113666432.

The previous prime is 13112312221. The next prime is 13112312393. The reversal of 13112312364 is 46321321131.

It is a happy number.

13112312364 is a `hidden beast` number, since 1 + 311 + 2 + 312 + 36 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×131123123642 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10712062 + ... + 10713285.

It is an arithmetic number, because the mean of its divisors is an integer number (974853334).

Almost surely, 213112312364 is an apocalyptic number.

It is an amenable number.

13112312364 is an abundant number, since it is smaller than the sum of its proper divisors (21982407660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112312364 is a wasteful number, since it uses less digits than its factorization.

13112312364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425374 (or 21425369 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13112312364 its reverse (46321321131), we get a palindrome (59433633495).

The spelling of 13112312364 in words is "thirteen billion, one hundred twelve million, three hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21425347 42850694 64276041 85701388 128552082 192828123 257104164 364230899 385656246 728461798 771312492 1092692697 1456923596 2185385394 3278078091 4370770788 6556156182 13112312364