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13310929129 = 113210212
BaseRepresentation
bin11000110010110010…
…01010100011101001
31021100122212021001011
430121121022203221
5204230044213004
610040455223521
7650600013361
oct143131124351
937318767034
1013310929129
115710744083
1226b5977ba1
131341928234
14903b859a1
1552d8be004
hex31964a8e9

13310929129 has 9 divisors (see below), whose sum is σ = 13442933829. Its totient is φ = 13180211520.

The previous prime is 13310929103. The next prime is 13310929139. The reversal of 13310929129 is 92192901331.

The square root of 13310929129 is 115373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3873195225 + 9437733904 = 62235^2 + 97148^2 .

It is not a de Polignac number, because 13310929129 - 27 = 13310929001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13310929091 and 13310929100.

It is not an unprimeable number, because it can be changed into a prime (13310929139) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13036639 + ... + 13037659.

Almost surely, 213310929129 is an apocalyptic number.

13310929129 is the 115373-rd square number.

13310929129 is the 57687-th centered octagonal number.

It is an amenable number.

13310929129 is a deficient number, since it is larger than the sum of its proper divisors (132004700).

13310929129 is an frugal number, since it uses more digits than its factorization.

13310929129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

Multiplying 13310929129 by its product of nonzero digits (26244), we get a square (349332024061476 = 186904262).

The spelling of 13310929129 in words is "thirteen billion, three hundred ten million, nine hundred twenty-nine thousand, one hundred twenty-nine".

Divisors: 1 113 1021 12769 115373 1042441 13037149 117795833 13310929129