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13104331315380 = 22325153319474839
BaseRepresentation
bin1011111010110001011100…
…0000110101100010110100
31201101202120101021111020100
42332230113000311202310
53204200132304043010
643512014030434100
72521520355220464
oct276542700654264
951352511244210
1013104331315380
1141a2574442188
12157785a062930
1374096b92cc66
14334378401ba4
1517ad18c8e2c0
hexbeb170358b4

13104331315380 has 72 divisors (see below), whose sum is σ = 39750147964800. Its totient is φ = 3494458199232.

The previous prime is 13104331315379. The next prime is 13104331315417. The reversal of 13104331315380 is 8351313340131.

13104331315380 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 331 + 315 + 3 + 8 + 0 = 666.

13104331315380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27360001 + ... + 27834839.

It is an arithmetic number, because the mean of its divisors is an integer number (552085388400).

Almost surely, 213104331315380 is an apocalyptic number.

13104331315380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104331315380 is an abundant number, since it is smaller than the sum of its proper divisors (26645816649420).

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

13104331315380 is a wasteful number, since it uses less digits than its factorization.

13104331315380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628173 (or 628168 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13104331315380 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 153319 306638 459957 474839 613276 766595 919914 949678 1379871 1424517 1533190 1839828 1899356 2299785 2374195 2759742 2849034 3066380 4273551 4599570 4748390 5519484 5698068 6899355 7122585 8547102 9199140 9496780 13798710 14245170 17094204 21367755 27597420 28490340 42735510 85471020 72801840641 145603681282 218405521923 291207362564 364009203205 436811043846 655216565769 728018406410 873622087692 1092027609615 1310433131538 1456036812820 2184055219230 2620866263076 3276082828845 4368110438460 6552165657690 13104331315380