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13002531300 = 223252116591993
BaseRepresentation
bin11000001110000001…
…01110000111100100
31020120011120000202100
430013000232013210
5203112122000200
65550121212100
7640133456343
oct140700560744
936504500670
1013002531300
115572654240
12262a631030
1312c2a79c05
148b4c27b5a
155117a1d00
hex30702e1e4

13002531300 has 216 divisors, whose sum is σ = 44550586080. Its totient is φ = 3145766400.

The previous prime is 13002531293. The next prime is 13002531317. The reversal of 13002531300 is 313520031.

13002531300 is a `hidden beast` number, since 130 + 0 + 2 + 531 + 3 + 0 + 0 = 666.

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

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, 6523104 + ... + 6525096.

Almost surely, 213002531300 is an apocalyptic number.

13002531300 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 13002531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22275293040).

13002531300 is an abundant number, since it is smaller than the sum of its proper divisors (31548054780).

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

13002531300 is a wasteful number, since it uses less digits than its factorization.

13002531300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 13002531300 in words is "thirteen billion, two million, five hundred thirty-one thousand, three hundred".