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12313101011310 = 23251134403361523
BaseRepresentation
bin1011001100101101111000…
…0000110000100101101110
31121121010021011212110110200
42303023132000300211232
53103214212324330220
642104321023214330
72410410056466201
oct263133600604556
947533234773420
1012313101011310
113a17a58578880
12146a4407473a6
136b41747c9098
14307d58a61938
1516545a835890
hexb32de03096e

12313101011310 has 96 divisors (see below), whose sum is σ = 34925543722368. Its totient is φ = 2984899162560.

The previous prime is 12313101011273. The next prime is 12313101011311. The reversal of 12313101011310 is 1311010131321.

12313101011310 is a `hidden beast` number, since 1 + 2 + 31 + 310 + 1 + 0 + 11 + 310 = 666.

It is a super-2 number, since 2×123131010113102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313101011311) 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, 33878209 + ... + 34239731.

It is an arithmetic number, because the mean of its divisors is an integer number (363807747108).

Almost surely, 212313101011310 is an apocalyptic number.

12313101011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12313101011310 is an abundant number, since it is smaller than the sum of its proper divisors (22612442711058).

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

12313101011310 is a wasteful number, since it uses less digits than its factorization.

12313101011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395950 (or 395947 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 12313101011310 its reverse (1311010131321), we get a palindrome (13624111142631).

The spelling of 12313101011310 in words is "twelve trillion, three hundred thirteen billion, one hundred one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 34403 68806 103209 172015 206418 309627 344030 361523 378433 516045 619254 723046 756866 1032090 1084569 1135299 1548135 1807615 1892165 2169138 2270598 3096270 3253707 3405897 3615230 3784330 3976753 5422845 5676495 6507414 6811794 7953506 10845690 11352990 11930259 16268535 17029485 19883765 23860518 32537070 34058970 35790777 39767530 59651295 71581554 119302590 178953885 357907770 12437475769 24874951538 37312427307 62187378845 74624854614 111937281921 124374757690 136812233459 186562136535 223874563842 273624466918 373124273070 410436700377 559686409605 684061167295 820873400754 1119372819210 1231310101131 1368122334590 2052183501885 2462620202262 4104367003770 6156550505655 12313101011310