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13136723021 = 172296132557
BaseRepresentation
bin11000011110000001…
…00111110001001101
31020220112001200012002
430033000213301031
5203401000114041
610011313322045
7643353206012
oct141700476115
936815050162
1013136723021
115631379494
122667566325
1313148025b6
148c8999709
1551d45c59b
hex30f027c4d

13136723021 has 24 divisors (see below), whose sum is σ = 14465336520. Its totient is φ = 11913495552.

The previous prime is 13136722997. The next prime is 13136723027. The reversal of 13136723021 is 12032763131.

It can be written as a sum of positive squares in 12 ways, for example, as 2852734921 + 10283988100 = 53411^2 + 101410^2 .

It is a de Polignac number, because none of the positive numbers 2k-13136723021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136723027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5136275 + ... + 5138831.

It is an arithmetic number, because the mean of its divisors is an integer number (602722355).

Almost surely, 213136723021 is an apocalyptic number.

It is an amenable number.

13136723021 is a deficient number, since it is larger than the sum of its proper divisors (1328613499).

13136723021 is a wasteful number, since it uses less digits than its factorization.

13136723021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 13136723021 in words is "thirteen billion, one hundred thirty-six million, seven hundred twenty-three thousand, twenty-one".

Divisors: 1 17 29 289 493 613 2557 8381 10421 17777 43469 74153 177157 302209 738973 1260601 1567441 5137553 21430217 26646497 45455789 452990449 772748413 13136723021