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13331012100 = 2235276348101
BaseRepresentation
bin11000110101001011…
…10001101000000100
31021102001122120200220
430122211301220010
5204300214341400
610042453504340
7651232506330
oct143245615004
937361576626
1013331012100
11572101077a
1227006420b0
131345b3a353
149066d27c0
155305397a0
hex31a971a04

13331012100 has 72 divisors (see below), whose sum is σ = 44081220288. Its totient is φ = 3047088000.

The previous prime is 13331012099. The next prime is 13331012137. The reversal of 13331012100 is 121013331.

It is a super-2 number, since 2×133310121002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13331012100.

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, 3171951 + ... + 3176150.

Almost surely, 213331012100 is an apocalyptic number.

13331012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331012100 is an abundant number, since it is smaller than the sum of its proper divisors (30750208188).

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

13331012100 is a wasteful number, since it uses less digits than its factorization.

13331012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348125 (or 6348118 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13331012100 its reverse (121013331), we get a palindrome (13452025431).

The spelling of 13331012100 in words is "thirteen billion, three hundred thirty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6348101 12696202 19044303 25392404 31740505 38088606 44436707 63481010 76177212 88873414 95221515 126962020 133310121 158702525 177746828 190443030 222183535 266620242 317405050 380886060 444367070 476107575 533240484 634810100 666550605 888734140 952215150 1110917675 1333101210 1904430300 2221835350 2666202420 3332753025 4443670700 6665506050 13331012100