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12317004324 = 22325323492
BaseRepresentation
bin10110111100010011…
…01001001000100100
31011210101121122112100
423132021221020210
5200211123114244
65354112052100
7614140544412
oct133611511044
934711548470
1012317004324
11525069a719
122478b34030
131213a37351
1484bb7a2b2
154c14dcb69
hex2de269224

12317004324 has 81 divisors (see below), whose sum is σ = 31824366483. Its totient is φ = 4016660544.

The previous prime is 12317004319. The next prime is 12317004341. The reversal of 12317004324 is 42340071321.

It is a happy number.

The square root of 12317004324 is 110982.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2549240100 + 9767764224 = 50490^2 + 98832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35292102 + ... + 35292450.

Almost surely, 212317004324 is an apocalyptic number.

12317004324 is the 110982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12317004324

12317004324 is an abundant number, since it is smaller than the sum of its proper divisors (19507362159).

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

12317004324 is an equidigital number, since it uses as much as digits as its factorization.

12317004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12317004324 its reverse (42340071321), we get a palindrome (54657075645).

The spelling of 12317004324 in words is "twelve billion, three hundred seventeen million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 349 477 636 698 954 1047 1396 1908 2094 2809 3141 4188 5618 6282 8427 11236 12564 16854 18497 25281 33708 36994 50562 55491 73988 101124 110982 121801 166473 221964 243602 332946 365403 487204 665892 730806 980341 1096209 1461612 1960682 2192418 2941023 3921364 4384836 5882046 6455453 8823069 11764092 12910906 17646138 19366359 25821812 35292276 38732718 58099077 77465436 116198154 232396308 342139009 684278018 1026417027 1368556036 2052834054 3079251081 4105668108 6158502162 12317004324