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13012332112 = 2413214932297
BaseRepresentation
bin11000001111001100…
…00110111001010000
31020120211222221221101
430013212012321100
5203122124111422
65551111234144
7640312666213
oct140746067120
936524887841
1013012332112
11557813878a
122631978954
1312c4acbc00
148b625977a
1551258ac27
hex307986e50

13012332112 has 60 divisors (see below), whose sum is σ = 27483983100. Its totient is φ = 5965200384.

The previous prime is 13012332079. The next prime is 13012332143. The reversal of 13012332112 is 21123321031.

It can be written as a sum of positive squares in 6 ways, for example, as 1174021696 + 11838310416 = 34264^2 + 108804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13012332112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386748 + ... + 419044.

It is an arithmetic number, because the mean of its divisors is an integer number (458066385).

Almost surely, 213012332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741991550).

13012332112 is an abundant number, since it is smaller than the sum of its proper divisors (14471650988).

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

13012332112 is a wasteful number, since it uses less digits than its factorization.

13012332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32480 (or 32461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13012332112 its reverse (21123321031), we get a palindrome (34135653143).

The spelling of 13012332112 in words is "thirteen billion, twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 149 169 208 298 338 596 676 1192 1352 1937 2384 2704 3874 7748 15496 25181 30992 32297 50362 64594 100724 129188 201448 258376 402896 419861 516752 839722 1679444 3358888 4812253 5458193 6717776 9624506 10916386 19249012 21832772 38498024 43665544 62559289 76996048 87331088 125118578 250237156 500474312 813270757 1000948624 1626541514 3253083028 6506166056 13012332112