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13125576200 = 235211191013109
BaseRepresentation
bin11000011100101100…
…00110011000001000
31020212202002100121212
430032112012120020
5203340121414300
610010234352252
7643156362002
oct141626063010
936782070555
1013125576200
115626055740
12266388b688
1313123cba49
148c72d7372
1551c4a9935
hex30e586608

13125576200 has 192 divisors, whose sum is σ = 35401752000. Its totient is φ = 4475520000.

The previous prime is 13125576157. The next prime is 13125576227. The reversal of 13125576200 is 267552131.

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 47 ways as a sum of consecutive naturals, for example, 4220246 + ... + 4223354.

It is an arithmetic number, because the mean of its divisors is an integer number (184384125).

Almost surely, 213125576200 is an apocalyptic number.

13125576200 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 13125576200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700876000).

13125576200 is an abundant number, since it is smaller than the sum of its proper divisors (22276175800).

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

13125576200 is a wasteful number, since it uses less digits than its factorization.

13125576200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 13125576200 in words is "thirteen billion, one hundred twenty-five million, five hundred seventy-six thousand, two hundred".