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12032111101013 = 1131391039737281
BaseRepresentation
bin1010111100010111000110…
…1101010100010001010101
31120121020222111210001022222
42233011301231110101111
53034113230420213023
641331250414232125
72351201633611553
oct257056155242125
946536874701288
1012032111101013
113919876049313
121423aa17b5645
1369381425b583
142d8500562bd3
1515ceb2055cc8
hexaf171b54455

12032111101013 has 16 divisors (see below), whose sum is σ = 12237701548800. Its totient is φ = 11828424867840.

The previous prime is 12032111101007. The next prime is 12032111101037. The reversal of 12032111101013 is 31010111123021.

12032111101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12032111101013 - 230 = 12031037359189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12032111100982 and 12032111101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032111101313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15950933 + ... + 16688213.

It is an arithmetic number, because the mean of its divisors is an integer number (764856346800).

Almost surely, 212032111101013 is an apocalyptic number.

It is an amenable number.

12032111101013 is a deficient number, since it is larger than the sum of its proper divisors (205590447787).

12032111101013 is a wasteful number, since it uses less digits than its factorization.

12032111101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738572.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12032111101013 its reverse (31010111123021), we get a palindrome (43042222224034).

The spelling of 12032111101013 in words is "twelve trillion, thirty-two billion, one hundred eleven million, one hundred one thousand, thirteen".

Divisors: 1 113 139 1039 15707 117407 144421 737281 16319573 83312753 102482059 766034959 11580472667 86561950367 106478859301 12032111101013