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13104010024 = 23721491571429
BaseRepresentation
bin11000011010000111…
…10101001100101000
31020211020111200101121
430031003311030220
5203314111310044
610004144225024
7642505150600
oct141503651450
936736450347
1013104010024
115614965756
12265860b174
13130aaba7b1
148c44c1c00
1551a649984
hex30d0f5328

13104010024 has 96 divisors (see below), whose sum is σ = 28976805000. Its totient is φ = 5538903552.

The previous prime is 13104010019. The next prime is 13104010061. The reversal of 13104010024 is 42001040131.

It can be written as a sum of positive squares in 4 ways, for example, as 4080909924 + 9023100100 = 63882^2 + 94990^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9169342 + ... + 9170770.

Almost surely, 213104010024 is an apocalyptic number.

13104010024 is a gapful number since it is divisible by the number (14) 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 13104010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488402500).

13104010024 is an abundant number, since it is smaller than the sum of its proper divisors (15872794976).

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

13104010024 is a wasteful number, since it uses less digits than its factorization.

13104010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13104010024 its reverse (42001040131), we get a palindrome (55105050155).

The spelling of 13104010024 in words is "thirteen billion, one hundred four million, ten thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 149 157 196 298 314 392 596 628 1043 1099 1192 1256 1429 2086 2198 2858 4172 4396 5716 7301 7693 8344 8792 10003 11432 14602 15386 20006 23393 29204 30772 40012 46786 58408 61544 70021 80024 93572 140042 163751 187144 212921 224353 280084 327502 425842 448706 560168 655004 851684 897412 1146257 1310008 1490447 1570471 1703368 1794824 2292514 2980894 3140942 4585028 5961788 6281884 9170056 10433129 10993297 11923576 12563768 20866258 21986594 33428597 41732516 43973188 66857194 83465032 87946376 133714388 234000179 267428776 468000358 936000716 1638001253 1872001432 3276002506 6552005012 13104010024