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13230033312 = 253619723291
BaseRepresentation
bin11000101001001001…
…00100100110100000
31021011000122022211210
430110210210212200
5204043342031222
610024445310120
7645565266456
oct142444444640
937130568753
1013230033312
11567a010931
122692865340
13132ac431a2
148d71289d6
1552673ed0c
hex3149249a0

13230033312 has 96 divisors (see below), whose sum is σ = 35663592384. Its totient is φ = 4292812800.

The previous prime is 13230033293. The next prime is 13230033331. The reversal of 13230033312 is 21333003231.

It is an interprime number because it is at equal distance from previous prime (13230033293) and next prime (13230033331).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556387 + ... + 579677.

It is an arithmetic number, because the mean of its divisors is an integer number (371495754).

Almost surely, 213230033312 is an apocalyptic number.

13230033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831796192).

13230033312 is an abundant number, since it is smaller than the sum of its proper divisors (22433559072).

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

13230033312 is a wasteful number, since it uses less digits than its factorization.

13230033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23462 (or 23454 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13230033312 its reverse (21333003231), we get a palindrome (34563036543).

The spelling of 13230033312 in words is "thirteen billion, two hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 97 122 183 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 1952 2328 2928 3104 4656 5856 5917 9312 11834 17751 23291 23668 35502 46582 47336 69873 71004 93164 94672 139746 142008 186328 189344 279492 284016 372656 558984 568032 745312 1117968 1420751 2235936 2259227 2841502 4262253 4518454 5683004 6777681 8524506 9036908 11366008 13555362 17049012 18073816 22732016 27110724 34098024 36147632 45464032 54221448 68196048 72295264 108442896 136392096 137812847 216885792 275625694 413438541 551251388 826877082 1102502776 1653754164 2205005552 3307508328 4410011104 6615016656 13230033312