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12322311320 = 2351153528401
BaseRepresentation
bin10110111100111011…
…11000110010011000
31011210202121021100202
423132131320302120
5200214002430240
65354421521332
7614233626614
oct133635706230
934722537322
1012322311320
115253694970
12247a873248
131214b74a97
1484c75c344
154c1bda315
hex2de778c98

12322311320 has 64 divisors (see below), whose sum is σ = 30816404640. Its totient is φ = 4396288000.

The previous prime is 12322311307. The next prime is 12322311343. The reversal of 12322311320 is 2311322321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12322311292 and 12322311301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240881 + ... + 287520.

Almost surely, 212322311320 is an apocalyptic number.

12322311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322311320 is an abundant number, since it is smaller than the sum of its proper divisors (18494093320).

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

12322311320 is a wasteful number, since it uses less digits than its factorization.

12322311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528476 (or 528472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12322311320 its reverse (2311322321), we get a palindrome (14633633641).

The spelling of 12322311320 in words is "twelve billion, three hundred twenty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 528401 1056802 2113604 2642005 4227208 5284010 5812411 10568020 11624822 21136040 23249644 28005253 29062055 46499288 56010506 58124110 112021012 116248220 140026265 224042024 232496440 280052530 308057783 560105060 616115566 1120210120 1232231132 1540288915 2464462264 3080577830 6161155660 12322311320