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12311122131 = 3271127920443
BaseRepresentation
bin10110111011100110…
…01101000011010011
31011202222112210200100
423131303031003103
5200203121402011
65353342023443
7614036545230
oct133563150323
934688483610
1012311122131
115248342300
122476b77b83
131212757b69
1484b088787
154c0c29d56
hex2ddccd0d3

12311122131 has 72 divisors (see below), whose sum is σ = 22622512640. Its totient is φ = 6314124960.

The previous prime is 12311122129. The next prime is 12311122139. The reversal of 12311122131 is 13122111321.

It is not a de Polignac number, because 12311122131 - 21 = 12311122129 is a prime.

It is a super-2 number, since 2×123111221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12311122139) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 591996 + ... + 612438.

Almost surely, 212311122131 is an apocalyptic number.

12311122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12311122131 is a deficient number, since it is larger than the sum of its proper divisors (10311390509).

12311122131 is a wasteful number, since it uses less digits than its factorization.

12311122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20557 (or 20543 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12311122131 its reverse (13122111321), we get a palindrome (25433233452).

The spelling of 12311122131 in words is "twelve billion, three hundred eleven million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 79 99 121 231 237 363 553 693 711 847 869 1089 1659 2541 2607 4977 6083 7623 7821 9559 18249 20443 28677 54747 61329 66913 86031 143101 183987 200739 224873 429303 602217 674619 1287909 1574111 1614997 2023857 2473603 4722333 4844991 7420809 11304979 14166999 14534973 17315221 17764967 22262427 33914937 51945663 53294901 101744811 124354769 155836989 159884703 195414637 373064307 586243911 1119192921 1367902459 1758731733 4103707377 12311122131