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12513756321 = 32111759912413
BaseRepresentation
bin10111010011110000…
…01100010010100001
31012022002211200112100
423221320030102201
5201112010200241
65425421121013
7622050113403
oct135170142241
935262750470
1012513756321
115341764380
1225129b9169
131245725151
14869d54b73
154d39049b6
hex2e9e0c4a1

12513756321 has 48 divisors (see below), whose sum is σ = 20915107200. Its totient is φ = 7125480960.

The previous prime is 12513756313. The next prime is 12513756323. The reversal of 12513756321 is 12365731521.

12513756321 is a `hidden beast` number, since 1 + 2 + 5 + 13 + 7 + 5 + 632 + 1 = 666.

It is not a de Polignac number, because 12513756321 - 23 = 12513756313 is a prime.

It is a super-2 number, since 2×125137563212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12513756323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001911 + ... + 1014323.

It is an arithmetic number, because the mean of its divisors is an integer number (435731400).

Almost surely, 212513756321 is an apocalyptic number.

12513756321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12513756321 is a deficient number, since it is larger than the sum of its proper divisors (8401350879).

12513756321 is a wasteful number, since it uses less digits than its factorization.

12513756321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13043 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 12513756321 in words is "twelve billion, five hundred thirteen million, seven hundred fifty-six thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 599 1683 1797 5391 6589 10183 12413 19767 30549 37239 59301 91647 111717 112013 136543 211021 336039 409629 633063 1008117 1228887 1899189 2321231 6963693 7435387 20891079 22306161 66918483 81789257 126401579 245367771 379204737 736103313 1137614211 1390417369 4171252107 12513756321