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13109464200 = 23352719164279
BaseRepresentation
bin11000011010110001…
…01000110010001000
31020211121202210010010
430031120220302020
5203322010323300
610004501151520
7642602415150
oct141530506210
936747683103
1013109464200
115617a50538
12265a3bb5a0
13130bc7a211
148c5101760
1551ad75a50
hex30d628c88

13109464200 has 192 divisors, whose sum is σ = 48889728000. Its totient is φ = 2838723840.

The previous prime is 13109464183. The next prime is 13109464241. The reversal of 13109464200 is 246490131.

It is a super-2 number, since 2×131094642002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2340 + ... + 161939.

It is an arithmetic number, because the mean of its divisors is an integer number (254634000).

Almost surely, 213109464200 is an apocalyptic number.

13109464200 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 13109464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444864000).

13109464200 is an abundant number, since it is smaller than the sum of its proper divisors (35780263800).

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

13109464200 is a wasteful number, since it uses less digits than its factorization.

13109464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164324 (or 164315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13109464200 in words is "thirteen billion, one hundred nine million, four hundred sixty-four thousand, two hundred".