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12013222131 = 3319291974099
BaseRepresentation
bin10110011000000101…
…10011100011110011
31011000012222220201000
423030002303203303
5144100341102011
65304021013043
7603461463141
oct131402634363
934005886630
1012013222131
115105172659
1223b3254183
131195b13b81
1481d6a0591
154a49d3356
hex2cc0b38f3

12013222131 has 64 divisors (see below), whose sum is σ = 19483200000. Its totient is φ = 7286702976.

The previous prime is 12013222037. The next prime is 12013222163. The reversal of 12013222131 is 13122231021.

12013222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12013222131 - 27 = 12013222003 is a prime.

It is a super-2 number, since 2×120132221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12013222181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2928720 + ... + 2932818.

It is an arithmetic number, because the mean of its divisors is an integer number (304425000).

Almost surely, 212013222131 is an apocalyptic number.

12013222131 is a deficient number, since it is larger than the sum of its proper divisors (7469977869).

12013222131 is a wasteful number, since it uses less digits than its factorization.

12013222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013222131 its reverse (13122231021), we get a palindrome (25135453152).

The spelling of 12013222131 in words is "twelve billion, thirteen million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 29 57 87 171 197 261 513 551 591 783 1653 1773 3743 4099 4959 5319 5713 11229 12297 14877 17139 33687 36891 51417 77881 101061 108547 110673 118871 154251 233643 325641 356613 700929 807503 976923 1069839 2102787 2258549 2422509 2930769 3209517 6775647 7267527 15342557 20326941 21802581 23417587 46027671 60980823 70252761 138083013 210758283 414249039 444934153 632274849 1334802459 4004407377 12013222131