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12012000013 = 1319293761743
BaseRepresentation
bin10110010111111100…
…01001001100001101
31011000010200211021101
423023332021030031
5144100033000023
65303534503101
7603445213126
oct131376111415
934003624241
1012012000013
115104508442
1223b2964a91
1311957a6820
1481d46304d
154a48411ad
hex2cbf8930d

12012000013 has 64 divisors (see below), whose sum is σ = 14724057600. Its totient is φ = 9693250560.

The previous prime is 12011999983. The next prime is 12012000031. The reversal of 12012000013 is 31000021021.

It is a cyclic number.

It is not a de Polignac number, because 12012000013 - 225 = 11978445581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012000053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16166520 + ... + 16167262.

It is an arithmetic number, because the mean of its divisors is an integer number (230063400).

Almost surely, 212012000013 is an apocalyptic number.

12012000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12012000013 is a deficient number, since it is larger than the sum of its proper divisors (2712057587).

12012000013 is a wasteful number, since it uses less digits than its factorization.

12012000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12012000013 its reverse (31000021021), we get a palindrome (43012021034).

The spelling of 12012000013 in words is "twelve billion, twelve million, thirteen", and thus it is an aban number and an uban number.

Divisors: 1 13 19 29 37 61 247 377 481 551 703 743 793 1073 1159 1769 2257 7163 9139 9659 13949 14117 15067 20387 21547 22997 27491 29341 33611 42883 45323 65453 183521 265031 280111 357383 409393 436943 522329 557479 589199 797239 850889 861137 1243607 1314367 1676951 5322109 6790277 10364107 11194781 15147541 16166891 17086771 21800363 24972973 31862069 48631579 196918033 324648649 414206897 632210527 924000001 12012000013