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13201233012 = 22331111112149
BaseRepresentation
bin11000100101101101…
…01101010001110100
31021002000110010021000
430102312231101310
5204014003424022
610021540123300
7645065425542
oct142266552164
937060403230
1013201233012
11566482a830
122685096530
131324c9b2a6
148d338cd92
15523e516ac
hex312dad474

13201233012 has 48 divisors (see below), whose sum is σ = 37336824000. Its totient is φ = 4000373280.

The previous prime is 13201233007. The next prime is 13201233049. The reversal of 13201233012 is 21033210231.

13201233012 is a `hidden beast` number, since 1 + 320 + 1 + 2 + 330 + 12 = 666.

13201233012 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 (18).

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, 5554887 + ... + 5557262.

It is an arithmetic number, because the mean of its divisors is an integer number (777850500).

Almost surely, 213201233012 is an apocalyptic number.

13201233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201233012 is an abundant number, since it is smaller than the sum of its proper divisors (24135590988).

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

13201233012 is a wasteful number, since it uses less digits than its factorization.

13201233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112173 (or 11112165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13201233012 its reverse (21033210231), we get a palindrome (34234443243).

The spelling of 13201233012 in words is "thirteen billion, two hundred one million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 11112149 22224298 33336447 44448596 66672894 100009341 122233639 133345788 200018682 244467278 300028023 366700917 400037364 488934556 600056046 733401834 1100102751 1200112092 1466803668 2200205502 3300308253 4400411004 6600616506 13201233012