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13053908317 = 6110112171741
BaseRepresentation
bin11000010100001001…
…01101010101011101
31020200202020020202211
430022010231111131
5203213300031232
65555154320421
7641326250512
oct141204552535
936622206684
1013053908317
11559965558a
122643889111
1313005c8008
148bb99d309
1551604ea47
hex30a12d55d

13053908317 has 16 divisors (see below), whose sum is σ = 13417984944. Its totient is φ = 12695040000.

The previous prime is 13053908311. The next prime is 13053908381. The reversal of 13053908317 is 71380935031.

It can be written as a sum of positive squares in 8 ways, for example, as 2661940836 + 10391967481 = 51594^2 + 101941^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13053908317 is a prime.

It is a super-3 number, since 3×130539083173 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13053908317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053908311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7497067 + ... + 7498807.

It is an arithmetic number, because the mean of its divisors is an integer number (838624059).

Almost surely, 213053908317 is an apocalyptic number.

It is an amenable number.

13053908317 is a deficient number, since it is larger than the sum of its proper divisors (364076627).

13053908317 is a wasteful number, since it uses less digits than its factorization.

13053908317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120.

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 13053908317 in words is "thirteen billion, fifty-three million, nine hundred eight thousand, three hundred seventeen".

Divisors: 1 61 101 1217 1741 6161 74237 106201 122917 175841 2118797 7497937 10726301 129246617 213998497 13053908317