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13201438120 = 2351325387381
BaseRepresentation
bin11000100101101110…
…11111010110101000
31021002000211112121121
430102313133112220
5204014032004440
610021544345024
7645100241533
oct142267372650
937060745547
1013201438120
11566495a942
122685175174
131325040760
148d3403a1a
15523e9234a
hex312ddf5a8

13201438120 has 32 divisors (see below), whose sum is σ = 31988101320. Its totient is φ = 4874376960.

The previous prime is 13201438091. The next prime is 13201438153. The reversal of 13201438120 is 2183410231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11981053764 + 1220384356 = 109458^2 + 34934^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12693171 + ... + 12694210.

Almost surely, 213201438120 is an apocalyptic number.

13201438120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201438120 is an abundant number, since it is smaller than the sum of its proper divisors (18786663200).

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

13201438120 is a wasteful number, since it uses less digits than its factorization.

13201438120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387405 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13201438120 its reverse (2183410231), we get a palindrome (15384848351).

The spelling of 13201438120 in words is "thirteen billion, two hundred one million, four hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 25387381 50774762 101549524 126936905 203099048 253873810 330035953 507747620 660071906 1015495240 1320143812 1650179765 2640287624 3300359530 6600719060 13201438120