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13002931200 = 210352719267
BaseRepresentation
bin11000001110000100…
…01111110000000000
31020120012022100022110
430013002033300000
5203112222244300
65550133535320
7640140043260
oct140702176000
936505270273
1013002931200
1155728a7736
12262a7a4540
1312c2b89c3c
148b4ccd7a0
15511830550
hex30708fc00

13002931200 has 792 divisors, whose sum is σ = 52609406592. Its totient is φ = 2773647360.

The previous prime is 13002931163. The next prime is 13002931229. The reversal of 13002931200 is 213920031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194073567 + ... + 194073633.

Almost surely, 213002931200 is an apocalyptic number.

13002931200 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 13002931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304703296).

13002931200 is an abundant number, since it is smaller than the sum of its proper divisors (39606475392).

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

13002931200 is a wasteful number, since it uses less digits than its factorization.

13002931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 13002931200 in words is "thirteen billion, two million, nine hundred thirty-one thousand, two hundred".