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199520013 = 3731117627
BaseRepresentation
bin10111110010001…
…10111100001101
3111220102200000010
423321012330031
5402034120023
631444223433
74641615000
oct1371067415
9456380003
10199520013
11a2695380
125699ab79
13324499a4
141c6d9537
15127b2093
hexbe46f0d

199520013 has 32 divisors (see below), whose sum is σ = 338457600. Its totient is φ = 103640880.

The previous prime is 199520003. The next prime is 199520033. The reversal of 199520013 is 310025991.

It is not a de Polignac number, because 199520013 - 216 = 199454477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199520003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506 + ... + 20132.

It is an arithmetic number, because the mean of its divisors is an integer number (10576800).

Almost surely, 2199520013 is an apocalyptic number.

It is an amenable number.

199520013 is a deficient number, since it is larger than the sum of its proper divisors (138937587).

199520013 is a wasteful number, since it uses less digits than its factorization.

199520013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17662 (or 17648 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 199520013 is about 14125.1553265796. The cubic root of 199520013 is about 584.3353427214.

The spelling of 199520013 in words is "one hundred ninety-nine million, five hundred twenty thousand, thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1029 1617 3773 11319 17627 52881 123389 193897 370167 581691 863723 1357279 2591169 4071837 6046061 9500953 18138183 28502859 66506671 199520013