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13002831523 = 11233713710139
BaseRepresentation
bin11000001110000011…
…10111011010100011
31020120012010021120201
430013001313122203
5203112211102043
65550131450031
7640136146543
oct140701673243
936505107521
1013002831523
115572839860
12262a756917
1312c2b53766
148b4ca5323
15511810c4d
hex3070776a3

13002831523 has 32 divisors (see below), whose sum is σ = 15314158080. Its totient is φ = 10919842560.

The previous prime is 13002831521. The next prime is 13002831547. The reversal of 13002831523 is 32513820031.

13002831523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13002831523 - 21 = 13002831521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002831491 and 13002831500.

It is not an unprimeable number, because it can be changed into a prime (13002831521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277388 + ... + 1287526.

It is an arithmetic number, because the mean of its divisors is an integer number (478567440).

Almost surely, 213002831523 is an apocalyptic number.

13002831523 is a deficient number, since it is larger than the sum of its proper divisors (2311326557).

13002831523 is a wasteful number, since it uses less digits than its factorization.

13002831523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13002831523 in words is "thirteen billion, two million, eight hundred thirty-one thousand, five hundred twenty-three".

Divisors: 1 11 23 37 137 253 407 851 1507 3151 5069 9361 10139 34661 55759 111529 116587 233197 375143 1282457 1389043 2565167 4126573 8628289 15279473 31947989 51394591 94911179 351427879 565340501 1182075593 13002831523