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13334132312 = 23101151293373
BaseRepresentation
bin11000110101100011…
…01011011001011000
31021102021112002211022
430122301223121120
5204302014213222
610043044422012
7651301153214
oct143261533130
937367462738
1013334132312
115722851a66
1227016a7908
131346690627
14906ca5944
15530954042
hex31ac6b658

13334132312 has 64 divisors (see below), whose sum is σ = 25571367360. Its totient is φ = 6517440000.

The previous prime is 13334132281. The next prime is 13334132377. The reversal of 13334132312 is 21323143331.

13334132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133341323123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35748158 + ... + 35748530.

It is an arithmetic number, because the mean of its divisors is an integer number (399552615).

Almost surely, 213334132312 is an apocalyptic number.

It is an amenable number.

13334132312 is a deficient number, since it is larger than the sum of its proper divisors (12237235048).

13334132312 is a wasteful number, since it uses less digits than its factorization.

13334132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 13334132312 its reverse (21323143331), we get a palindrome (34657275643).

The spelling of 13334132312 in words is "thirteen billion, three hundred thirty-four million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 101 151 202 293 302 373 404 586 604 746 808 1172 1208 1492 2344 2984 15251 29593 30502 37673 44243 56323 59186 61004 75346 88486 109289 112646 118372 122008 150692 176972 218578 225292 236744 301384 353944 437156 450584 874312 4468543 5688623 8937086 11038189 11377246 16502639 17874172 22076378 22754492 33005278 35748344 44152756 45508984 66010556 88305512 132021112 1666766539 3333533078 6667066156 13334132312