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13104440412312 = 2337111368056631
BaseRepresentation
bin1011111010110001110110…
…0001000000100010011000
31201101202211222120012002110
42332230131201000202120
53204200343221143222
643512032525032320
72521523151431364
oct276543541004230
951352758505073
1013104440412312
1141a261aa87337
12157788a6b56a0
1374098840a262
14334388ac02a4
1517ad2363e30c
hexbeb1d840898

13104440412312 has 64 divisors (see below), whose sum is σ = 33516530127360. Its totient is φ = 4268511833600.

The previous prime is 13104440412307. The next prime is 13104440412379. The reversal of 13104440412312 is 21321404440131.

It is a happy number.

It is a super-2 number, since 2×131044404123122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13104440412312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33835764 + ... + 34220867.

It is an arithmetic number, because the mean of its divisors is an integer number (523695783240).

Almost surely, 213104440412312 is an apocalyptic number.

13104440412312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13104440412312 is an abundant number, since it is smaller than the sum of its proper divisors (20412089715048).

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

13104440412312 is a wasteful number, since it uses less digits than its factorization.

13104440412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68056824 (or 68056820 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13104440412312 its reverse (21321404440131), we get a palindrome (34425844852443).

The spelling of 13104440412312 in words is "thirteen trillion, one hundred four billion, four hundred forty million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 113 142 213 226 284 339 426 452 568 678 852 904 1356 1704 2712 8023 16046 24069 32092 48138 64184 96276 192552 68056631 136113262 204169893 272226524 408339786 544453048 816679572 1633359144 4832020801 7690399303 9664041602 14496062403 15380798606 19328083204 23071197909 28992124806 30761597212 38656166408 46142395818 57984249612 61523194424 92284791636 115968499224 184569583272 546018350513 1092036701026 1638055051539 2184073402052 3276110103078 4368146804104 6552220206156 13104440412312