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13232230011 = 337111332897
BaseRepresentation
bin11000101001011001…
…11100111001111011
31021011011202221011000
430110230330321323
5204044422330021
610025004340043
7645623046030
oct142454747173
937134687130
1013232230011
115680281290
122693544623
13132b532000
148d753b387
15526a25b26
hex314b3ce7b

13232230011 has 128 divisors (see below), whose sum is σ = 26485401600. Its totient is φ = 6342935040.

The previous prime is 13232230003. The next prime is 13232230019. The reversal of 13232230011 is 11003223231.

13232230011 is a `hidden beast` number, since 1 + 32 + 322 + 300 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (13232230003) and next prime (13232230019).

It is not a de Polignac number, because 13232230011 - 23 = 13232230003 is a prime.

It is a super-2 number, since 2×132322300112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13232230019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4566115 + ... + 4569011.

It is an arithmetic number, because the mean of its divisors is an integer number (206917200).

Almost surely, 213232230011 is an apocalyptic number.

13232230011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13232230011 is an abundant number, since it is smaller than the sum of its proper divisors (13253171589).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13232230011 is a wasteful number, since it uses less digits than its factorization.

13232230011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232230011 its reverse (11003223231), we get a palindrome (24235453242).

The spelling of 13232230011 in words is "thirteen billion, two hundred thirty-two million, two hundred thirty thousand, eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 169 189 231 273 297 351 429 507 693 819 1001 1183 1287 1521 1859 2079 2197 2457 2897 3003 3549 3861 4563 5577 6591 8691 9009 10647 13013 15379 16731 19773 20279 24167 26073 27027 31867 31941 37661 39039 46137 50193 59319 60837 72501 78219 95601 112983 117117 138411 169169 182511 217503 223069 263627 286803 338949 351351 414271 415233 489593 507507 547533 652509 669207 790881 860409 1016847 1242813 1468779 1522521 2007621 2372643 2899897 3427151 3728439 4406337 4567563 5385523 6022863 6364709 7117929 8699691 10281453 11185317 13219011 16156569 19094127 26099073 30844359 37698661 44552963 48469707 57282381 70011799 78297219 92533077 113095983 133658889 145409121 171847143 210035397 339287949 400976667 490082593 630106191 1017863847 1202930001 1470247779 1890318573 4410743337 13232230011