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12313126130214 = 23713191577920431
BaseRepresentation
bin1011001100101101111110…
…0000100101001000100110
31121121010022221010122010110
42303023133200211020212
53103214240242131324
642104323321433450
72410410513135150
oct263133740451046
947533287118113
1012313126130214
113a17a70774aa8
12146a44903b886
136b4179a82440
14307d5c11dad0
1516545cb48329
hexb32df825226

12313126130214 has 128 divisors (see below), whose sum is σ = 30474684334080. Its totient is φ = 3229698614400.

The previous prime is 12313126130191. The next prime is 12313126130219. The reversal of 12313126130214 is 41203162131321.

It is a super-2 number, since 2×123131261302142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313126130219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602658579 + ... + 602679009.

It is an arithmetic number, because the mean of its divisors is an integer number (238083471360).

Almost surely, 212313126130214 is an apocalyptic number.

12313126130214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313126130214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237342167040).

12313126130214 is an abundant number, since it is smaller than the sum of its proper divisors (18161558203866).

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

12313126130214 is a wasteful number, since it uses less digits than its factorization.

12313126130214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 12313126130214 its reverse (41203162131321), we get a palindrome (53516288261535).

The spelling of 12313126130214 in words is "twelve trillion, three hundred thirteen billion, one hundred twenty-six million, one hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 191 273 382 546 573 1146 1337 2483 2674 4011 4966 5779 7449 8022 11558 14898 17337 17381 20431 34674 34762 40453 40862 52143 61293 75127 80906 104286 121359 122586 143017 150254 225381 242718 265603 286034 429051 450762 525889 531206 796809 858102 1051778 1103789 1577667 1593618 1859221 2207578 3155334 3311367 3718442 3902321 5577663 6622734 7726523 7804642 11155326 11706963 14349257 15453046 23179569 23413926 27316247 28698514 43047771 46359138 50730173 54632494 81948741 86095542 100444799 101460346 118070749 152190519 163897482 200889598 236141498 301334397 304381038 354212247 355111211 602668794 708424494 710222422 826495243 1065333633 1534919737 1652990486 2130667266 2479485729 3069839474 4604759211 4958971458 9209518422 10744438159 21488876318 22551513059 32233314477 45103026118 64466628954 67654539177 135309078354 157860591413 293169669767 315721182826 473581774239 586339339534 879509009301 947163548478 1759018018602 2052187688369 4104375376738 6156563065107 12313126130214