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13104310214412 = 22334311567179657
BaseRepresentation
bin1011111010110001010111…
…0000010101111100001100
31201101202111220120110011000
42332230111300111330030
53204200111403330122
643512011554300300
72521520010654564
oct276542560257414
951352456513130
1013104310214412
1141a256353a76a
121577852b87690
13740967452691
143343756abda4
1517ad16ec20ac
hexbeb15c15f0c

13104310214412 has 96 divisors (see below), whose sum is σ = 34074884874240. Its totient is φ = 4355163262080.

The previous prime is 13104310214399. The next prime is 13104310214467. The reversal of 13104310214412 is 21441201340131.

It is a happy number.

13104310214412 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 31 + 0 + 214 + 412 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72850888 + ... + 73030544.

It is an arithmetic number, because the mean of its divisors is an integer number (354946717440).

Almost surely, 213104310214412 is an apocalyptic number.

13104310214412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13104310214412 is an abundant number, since it is smaller than the sum of its proper divisors (20970574659828).

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

13104310214412 is a wasteful number, since it uses less digits than its factorization.

13104310214412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181668 (or 181660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13104310214412 its reverse (21441201340131), we get a palindrome (34545511554543).

The spelling of 13104310214412 in words is "thirteen trillion, one hundred four billion, three hundred ten million, two hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 431 862 1293 1567 1724 2586 3134 3879 4701 5172 6268 7758 9402 11637 14103 15516 18804 23274 28206 42309 46548 56412 84618 169236 179657 359314 538971 675377 718628 1077942 1350754 1616913 2026131 2155884 2701508 3233826 4052262 4850739 6078393 6467652 8104524 9701478 12156786 18235179 19402956 24313572 36470358 72940716 77432167 154864334 232296501 281522519 309728668 464593002 563045038 696889503 844567557 929186004 1126090076 1393779006 1689135114 2090668509 2533702671 2787558012 3378270228 4181337018 5067405342 7601108013 8362674036 10134810684 15202216026 30404432052 121336205689 242672411378 364008617067 485344822756 728017234134 1092025851201 1456034468268 2184051702402 3276077553603 4368103404804 6552155107206 13104310214412