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13104520200 = 2334526189149
BaseRepresentation
bin11000011010001011…
…10001110000001000
31020211021110121020000
430031011301300020
5203314224121300
610004203203000
7642512404152
oct141505616010
936737417200
1013104520200
115615183a92
122658816460
13130ac38a85
148c45b5ad2
1551a6eac00
hex30d171c08

13104520200 has 480 divisors, whose sum is σ = 47093805000. Its totient is φ = 3375820800.

The previous prime is 13104520171. The next prime is 13104520249. The reversal of 13104520200 is 202540131.

13104520200 is a `hidden beast` number, since 1 + 3 + 10 + 452 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2328834564 + 10775685636 = 48258^2 + 103806^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87949726 + ... + 87949874.

Almost surely, 213104520200 is an apocalyptic number.

13104520200 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 13104520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546902500).

13104520200 is an abundant number, since it is smaller than the sum of its proper divisors (33989284800).

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

13104520200 is a wasteful number, since it uses less digits than its factorization.

13104520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 13104520200 in words is "thirteen billion, one hundred four million, five hundred twenty thousand, two hundred".