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13121334324 = 22327308316889
BaseRepresentation
bin11000011100001011…
…11010110000110100
31020212110002211212100
430032011322300310
5203333030144244
610010003422100
7643105334010
oct141605726064
936773084770
1013121334324
11562371875a
122662384930
131311575067
148c6911540
1551be1cb69
hex30e17ac34

13121334324 has 72 divisors (see below), whose sum is σ = 37920617280. Its totient is φ = 3747514752.

The previous prime is 13121334307. The next prime is 13121334353. The reversal of 13121334324 is 42343312131.

It is a happy number.

13121334324 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 334 + 324 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768472 + ... + 785360.

It is an arithmetic number, because the mean of its divisors is an integer number (526675240).

Almost surely, 213121334324 is an apocalyptic number.

13121334324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13121334324 is an abundant number, since it is smaller than the sum of its proper divisors (24799282956).

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

13121334324 is a wasteful number, since it uses less digits than its factorization.

13121334324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19989 (or 19984 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13121334324 its reverse (42343312131), we get a palindrome (55464646455).

The spelling of 13121334324 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3083 6166 9249 12332 16889 18498 21581 27747 33778 36996 43162 50667 55494 64743 67556 86324 101334 110988 118223 129486 152001 194229 202668 236446 258972 304002 354669 388458 472892 608004 709338 776916 1064007 1418676 2128014 4256028 52068787 104137574 156206361 208275148 312412722 364481509 468619083 624825444 728963018 937238166 1093444527 1457926036 1874476332 2186889054 3280333581 4373778108 6560667162 13121334324