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13368308130 = 2325714194993
BaseRepresentation
bin11000111001101000…
…00011000110100010
31021111122211102020100
430130310003012202
5204334241330010
610050305123230
7652164513162
oct143464030642
937448742210
1013368308130
115740074841
122711029516
1313507981c8
1490b6405a2
155339552c0
hex31cd031a2

13368308130 has 96 divisors (see below), whose sum is σ = 35338343040. Its totient is φ = 3505582080.

The previous prime is 13368308117. The next prime is 13368308131. The reversal of 13368308130 is 3180386331.

13368308130 is a `hidden beast` number, since 1 + 336 + 8 + 308 + 13 + 0 = 666.

It is a super-3 number, since 3×133683081303 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13368308131) 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, 2674914 + ... + 2679906.

It is an arithmetic number, because the mean of its divisors is an integer number (368107740).

Almost surely, 213368308130 is an apocalyptic number.

13368308130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13368308130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669171520).

13368308130 is an abundant number, since it is smaller than the sum of its proper divisors (21970034910).

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

13368308130 is a wasteful number, since it uses less digits than its factorization.

13368308130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13368308130 in words is "thirteen billion, three hundred sixty-eight million, three hundred eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 419 426 639 710 838 1065 1257 1278 2095 2130 2514 3195 3771 4190 4993 6285 6390 7542 9986 12570 14979 18855 24965 29749 29958 37710 44937 49930 59498 74895 89247 89874 148745 149790 178494 224685 267741 297490 354503 446235 449370 535482 709006 892470 1063509 1338705 1772515 2092067 2127018 2677410 3190527 3545030 4184134 5317545 6276201 6381054 10460335 10635090 12552402 15952635 18828603 20920670 31381005 31905270 37657206 62762010 94143015 148536757 188286030 297073514 445610271 742683785 891220542 1336830813 1485367570 2228051355 2673661626 4456102710 6684154065 13368308130