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2013342101304 = 23317149235114087
BaseRepresentation
bin11101010011000100100…
…010100110111100111000
321010110210021100211012020
4131103010202212330320
5230441311034220204
64140525552314440
7265313331331422
oct35230442467470
97113707324166
102013342101304
11706943145a96
12286248242a20
13117b1b784c81
146d63682b812
15375894a7bd9
hex1d4c48a6f38

2013342101304 has 128 divisors (see below), whose sum is σ = 5367866112000. Its totient is φ = 627086182400.

The previous prime is 2013342101293. The next prime is 2013342101317. The reversal of 2013342101304 is 4031012433102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 142914949 + ... + 142929035.

It is an arithmetic number, because the mean of its divisors is an integer number (41936454000).

Almost surely, 22013342101304 is an apocalyptic number.

2013342101304 is a gapful number since it is divisible by the number (24) 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 2013342101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683933056000).

2013342101304 is an abundant number, since it is smaller than the sum of its proper divisors (3354524010696).

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

2013342101304 is a wasteful number, since it uses less digits than its factorization.

2013342101304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16613 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2013342101304 its reverse (4031012433102), we get a palindrome (6044354534406).

The spelling of 2013342101304 in words is "two trillion, thirteen billion, three hundred forty-two million, one hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 149 204 298 408 447 596 894 1192 1788 2351 2533 3576 4702 5066 7053 7599 9404 10132 14087 14106 15198 18808 20264 28174 28212 30396 39967 42261 56348 56424 60792 79934 84522 112696 119901 159868 169044 239479 239802 319736 338088 350299 478958 479604 700598 718437 957916 959208 1050897 1401196 1436874 1915832 2098963 2101794 2802392 2873748 4197926 4203588 5747496 5955083 6296889 8395852 8407176 11910166 12593778 16791704 17865249 23820332 25187556 33118537 35682371 35730498 47640664 50375112 66237074 71364742 71460996 99355611 107047113 132474148 142729484 142921992 198711222 214094226 264948296 285458968 397422444 428188452 563015129 794844888 856376904 1126030258 1689045387 2252060516 3378090774 4504121032 4934662013 6756181548 9869324026 13512363096 14803986039 19738648052 29607972078 39477296104 59215944156 83889254221 118431888312 167778508442 251667762663 335557016884 503335525326 671114033768 1006671050652 2013342101304