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13160013360 = 243513311031321
BaseRepresentation
bin11000100000110010…
…11101111000110000
31020222010212221112020
430100121131320300
5203422430411420
610013504431440
7644055160614
oct142031357060
936863787466
1013160013360
1156435368aa
122673318580
131319598570
148cbadd344
1552050d340
hex31065de30

13160013360 has 320 divisors, whose sum is σ = 45826400256. Its totient is φ = 3102105600.

The previous prime is 13160013359. The next prime is 13160013379. The reversal of 13160013360 is 6331006131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13160013360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9961500 + ... + 9962820.

Almost surely, 213160013360 is an apocalyptic number.

13160013360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913200128).

13160013360 is an abundant number, since it is smaller than the sum of its proper divisors (32666386896).

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

13160013360 is a wasteful number, since it uses less digits than its factorization.

13160013360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13160013360 its reverse (6331006131), we get a palindrome (19491019491).

The spelling of 13160013360 in words is "thirteen billion, one hundred sixty million, thirteen thousand, three hundred sixty".