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12311032311 = 3219372431223
BaseRepresentation
bin10110111011100101…
…10111000111110111
31011202222101020110200
423131302313013313
5200203111013221
65353340051543
7614036022324
oct133562670767
934688336420
1012311032311
115248290876
122476b33bb3
131212726006
1484b063b4b
154c0c0d426
hex2ddcb71f7

12311032311 has 72 divisors (see below), whose sum is σ = 19701601920. Its totient is φ = 7383265344.

The previous prime is 12311032303. The next prime is 12311032313. The reversal of 12311032311 is 11323011321.

12311032311 is a `hidden beast` number, since 12 + 311 + 0 + 32 + 311 = 666.

It is not a de Polignac number, because 12311032311 - 23 = 12311032303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311032313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10065646 + ... + 10066868.

It is an arithmetic number, because the mean of its divisors is an integer number (273633360).

Almost surely, 212311032311 is an apocalyptic number.

12311032311 is a deficient number, since it is larger than the sum of its proper divisors (7390569609).

12311032311 is a wasteful number, since it uses less digits than its factorization.

12311032311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12311032311 its reverse (11323011321), we get a palindrome (23634043632).

The spelling of 12311032311 in words is "twelve billion, three hundred eleven million, thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 19 37 43 57 111 129 171 333 387 703 817 1223 1369 1591 2109 2451 3669 4107 4773 6327 7353 11007 12321 14319 23237 26011 30229 45251 52589 58867 69711 78033 90687 135753 157767 176601 209133 234099 272061 407259 473301 529803 859769 999191 1118473 1674287 1945793 2579307 2997573 3355419 5022861 5837379 7737921 8992719 10066257 15068583 17512137 31811453 36970067 71994341 95434359 110910201 215983023 286303077 332730603 647949069 1367892479 4103677437 12311032311