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13412422002312 = 23331710069362759
BaseRepresentation
bin1100001100101101001010…
…1001100010011010001000
31202111012210202020222222000
43003023102221202122020
53224222120013033222
644305325343231000
72553005214646524
oct303132251423210
952435722228860
1013412422002312
1143011a3617303
121607500ba8460
13763a2aa04488
14345243c96d84
15183d4b8ad9ac
hexc32d2a62688

13412422002312 has 128 divisors (see below), whose sum is σ = 39452326560000. Its totient is φ = 4207389170688.

The previous prime is 13412422002257. The next prime is 13412422002337. The reversal of 13412422002312 is 21320022421431.

13412422002312 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 422 + 0 + 0 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36791989 + ... + 37154747.

It is an arithmetic number, because the mean of its divisors is an integer number (308221301250).

Almost surely, 213412422002312 is an apocalyptic number.

13412422002312 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 13412422002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726163280000).

13412422002312 is an abundant number, since it is smaller than the sum of its proper divisors (26039904557688).

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

13412422002312 is a wasteful number, since it uses less digits than its factorization.

13412422002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372860 (or 372850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13412422002312 its reverse (21320022421431), we get a palindrome (34732444423743).

The spelling of 13412422002312 in words is "thirteen trillion, four hundred twelve billion, four hundred twenty-two million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 10069 20138 30207 40276 60414 80552 90621 120828 171173 181242 241656 271863 342346 362484 362759 513519 543726 684692 724968 725518 1027038 1087452 1088277 1369384 1451036 1540557 2054076 2174904 2176554 2902072 3081114 3264831 4108152 4353108 4621671 6162228 6166903 6529662 8706216 9243342 9794493 12324456 12333806 13059324 18486684 18500709 19588986 24667612 26118648 36973368 37001418 39177972 49335224 55502127 74002836 78355944 111004254 148005672 166506381 222008508 333012762 444017016 666025524 1332051048 3652620371 7305240742 10957861113 14610481484 21915722226 29220962968 32873583339 43831444452 62094546307 65747166678 87662888904 98620750017 124189092614 131494333356 186283638921 197241500034 248378185228 262988666712 372567277842 394483000068 496756370456 558850916763 745134555684 788966000136 1117701833526 1490269111368 1676552750289 2235403667052 3353105500578 4470807334104 6706211001156 13412422002312