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13004631029 = 1325139710039
BaseRepresentation
bin11000001110010001…
…01110101111110101
31020120022111201001002
430013020232233311
5203113141143104
65550234213045
7640160353115
oct140710565765
936508451032
1013004631029
115573858855
12262b284185
1312c3333860
148b5213045
15511a6901e
hex30722ebf5

13004631029 has 16 divisors (see below), whose sum is σ = 14097605760. Its totient is φ = 11925144000.

The previous prime is 13004630999. The next prime is 13004631061. The reversal of 13004631029 is 92013640031.

It is a cyclic number.

It is not a de Polignac number, because 13004631029 - 220 = 13003582453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13004630992 and 13004631010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004631229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290392 + ... + 1300430.

It is an arithmetic number, because the mean of its divisors is an integer number (881100360).

Almost surely, 213004631029 is an apocalyptic number.

It is an amenable number.

13004631029 is a deficient number, since it is larger than the sum of its proper divisors (1092974731).

13004631029 is a wasteful number, since it uses less digits than its factorization.

13004631029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 13004631029 in words is "thirteen billion, four million, six hundred thirty-one thousand, twenty-nine".

Divisors: 1 13 251 397 3263 5161 10039 99647 130507 1295411 2519789 3985483 32757257 51811279 1000356233 13004631029