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13125499200 = 26375211231
BaseRepresentation
bin11000011100101011…
…10011100101000000
31020212201221110000000
430032111303211000
5203340111433300
610010233000000
7643155621342
oct141625634500
936781843000
1013125499200
115626002900
122663853000
1313123a2998
148c72b7292
1551c491c00
hex30e573940

13125499200 has 1008 divisors, whose sum is σ = 54959260160. Its totient is φ = 3079296000.

The previous prime is 13125499159. The next prime is 13125499223. The reversal of 13125499200 is 299452131.

13125499200 is a `hidden beast` number, since 1 + 312 + 54 + 99 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 423403185 + ... + 423403215.

Almost surely, 213125499200 is an apocalyptic number.

13125499200 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 13125499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479630080).

13125499200 is an abundant number, since it is smaller than the sum of its proper divisors (41833760960).

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

13125499200 is an equidigital number, since it uses as much as digits as its factorization.

13125499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13125499200 in words is "thirteen billion, one hundred twenty-five million, four hundred ninety-nine thousand, two hundred".