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13006521231 = 31121931127479
BaseRepresentation
bin11000001110011111…
…11100001110001111
31020120110001201220120
430013033330032033
5203114132134411
65550342520023
7640212414654
oct140717741617
936513051816
1013006521231
115574929a00
12262ba36013
1312c3846012
148b5585c2b
15511cde106
hex3073fc38f

13006521231 has 96 divisors (see below), whose sum is σ = 20919091200. Its totient is φ = 7155086400.

The previous prime is 13006521223. The next prime is 13006521251. The reversal of 13006521231 is 13212560031.

It is not a de Polignac number, because 13006521231 - 23 = 13006521223 is a prime.

It is a super-2 number, since 2×130065212312 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006521251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27153250 + ... + 27153728.

It is an arithmetic number, because the mean of its divisors is an integer number (217907200).

Almost surely, 213006521231 is an apocalyptic number.

13006521231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13006521231 is a deficient number, since it is larger than the sum of its proper divisors (7912569969).

13006521231 is a wasteful number, since it uses less digits than its factorization.

13006521231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 13006521231 in words is "thirteen billion, six million, five hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 19 31 33 57 93 121 127 209 341 363 381 479 589 627 1023 1397 1437 1767 2299 2413 3751 3937 4191 5269 6479 6897 7239 9101 11253 11811 14849 15367 15807 19437 26543 27303 43307 44547 46101 57959 60833 71269 74803 79629 100111 129921 163339 173877 182499 213807 224409 282131 291973 300333 476377 490017 669163 822833 846393 875919 1101221 1155827 1429131 1796729 1885823 2007489 2468499 3103441 3303663 3467481 5390187 5657469 7360793 9051163 9310323 12714097 20744053 22082379 27153489 34137851 35830637 38142291 62232159 102413553 107491911 139855067 228184583 394137007 419565201 684553749 1182411021 4335507077 13006521231