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13005000200 = 235265025001
BaseRepresentation
bin11000001110010100…
…01000111000001000
31020120100012110110002
430013022020320020
5203113240001300
65550250142132
7640163451323
oct140712107010
936510173402
1013005000200
115573a90155
12262b421948
1312c34328ba
148b52ab7ba
15511add5d5
hex307288e08

13005000200 has 24 divisors (see below), whose sum is σ = 30236625930. Its totient is φ = 5202000000.

The previous prime is 13005000181. The next prime is 13005000209. The reversal of 13005000200 is 200050031.

It can be written as a sum of positive squares in 3 ways, for example, as 9872807044 + 3132193156 = 99362^2 + 55966^2 .

It is not an unprimeable number, because it can be changed into a prime (13005000209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32512301 + ... + 32512700.

Almost surely, 213005000200 is an apocalyptic number.

13005000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005000200 is an abundant number, since it is smaller than the sum of its proper divisors (17231625730).

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

13005000200 is a wasteful number, since it uses less digits than its factorization.

13005000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65025017 (or 65025008 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

Adding to 13005000200 its reverse (200050031), we get a palindrome (13205050231).

It can be divided in two parts, 13005000 and 200, that multiplied together give a square (2601000000 = 510002).

The spelling of 13005000200 in words is "thirteen billion, five million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 65025001 130050002 260100004 325125005 520200008 650250010 1300500020 1625625025 2601000040 3251250050 6502500100 13005000200