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12313131210 = 2325376160617
BaseRepresentation
bin10110111011110101…
…10111100011001010
31011210010022212121200
423131322313203022
5200204130144320
65353453045030
7614062613502
oct133572674312
934703285550
1012313131210
1152494947a6
122477786776
131212cac473
1484b44ca02
154c0ec5290
hex2ddeb78ca

12313131210 has 96 divisors (see below), whose sum is σ = 33418945872. Its totient is φ = 3142333440.

The previous prime is 12313131179. The next prime is 12313131217. The reversal of 12313131210 is 1213131321.

12313131210 is a `hidden beast` number, since 1 + 231 + 313 + 121 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1716693489 + 10596437721 = 41433^2 + 102939^2 .

It is a super-4 number, since 4×123131312104 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12313131217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172822 + ... + 233438.

Almost surely, 212313131210 is an apocalyptic number.

12313131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709472936).

12313131210 is an abundant number, since it is smaller than the sum of its proper divisors (21105814662).

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

12313131210 is a wasteful number, since it uses less digits than its factorization.

12313131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60728 (or 60725 counting only the distinct ones).

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

Adding to 12313131210 its reverse (1213131321), we get a palindrome (13526262531).

The spelling of 12313131210 in words is "twelve billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 549 555 610 666 915 1098 1110 1665 1830 2257 2745 3330 4514 5490 6771 11285 13542 20313 22570 33855 40626 60617 67710 101565 121234 181851 203130 303085 363702 545553 606170 909255 1091106 1818510 2242829 2727765 3697637 4485658 5455530 6728487 7395274 11092911 11214145 13456974 18488185 20185461 22185822 22428290 33278733 33642435 36976370 40370922 55464555 66557466 67284870 100927305 110929110 136812569 166393665 201854610 273625138 332787330 410437707 684062845 820875414 1231313121 1368125690 2052188535 2462626242 4104377070 6156565605 12313131210