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12233031132 = 2237894333779
BaseRepresentation
bin10110110010010010…
…10011110111011100
31011120112121100222010
423121021103313130
5200023123444012
65341512151220
7612101022540
oct133111236734
934515540863
1012233031132
115208255393
122454998510
1311cc51567a
1484095ba20
154b8e51c3c
hex2d9253ddc

12233031132 has 96 divisors (see below), whose sum is σ = 33072883200. Its totient is φ = 3446986752.

The previous prime is 12233031121. The next prime is 12233031163. The reversal of 12233031132 is 23113033221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12233031099 and 12233031108.

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 31 ways as a sum of consecutive naturals, for example, 3235219 + ... + 3238997.

It is an arithmetic number, because the mean of its divisors is an integer number (344509200).

Almost surely, 212233031132 is an apocalyptic number.

12233031132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536441600).

12233031132 is an abundant number, since it is smaller than the sum of its proper divisors (20839852068).

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

12233031132 is a wasteful number, since it uses less digits than its factorization.

12233031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12233031132 its reverse (23113033221), we get a palindrome (35346064353).

The spelling of 12233031132 in words is "twelve billion, two hundred thirty-three million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 433 534 623 866 1068 1246 1299 1732 1869 2492 2598 3031 3738 3779 5196 6062 7476 7558 9093 11337 12124 15116 18186 22674 26453 36372 38537 45348 52906 77074 79359 105812 115611 154148 158718 231222 269759 317436 336331 462444 539518 672662 809277 1008993 1079036 1345324 1618554 1636307 2017986 2354317 3237108 3272614 4035972 4708634 4908921 6545228 7062951 9417268 9817842 11454149 14125902 19635684 22908298 28251804 34362447 45816596 68724894 137449788 145631323 291262646 436893969 582525292 873787938 1019419261 1747575876 2038838522 3058257783 4077677044 6116515566 12233031132