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513102205 = 57111332733
BaseRepresentation
bin11110100101010…
…101000101111101
31022202111021220101
4132211111011331
52022323232310
6122525321101
715500203540
oct3645250575
91282437811
10513102205
112436a6310
12123a06191
13823c1995
144c206857
15300a543a
hex1e95517d

513102205 has 16 divisors (see below), whose sum is σ = 767654784. Its totient is φ = 319855680.

The previous prime is 513102203. The next prime is 513102221. The reversal of 513102205 is 502201315.

It is not a de Polignac number, because 513102205 - 21 = 513102203 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665982 + ... + 666751.

It is an arithmetic number, because the mean of its divisors is an integer number (47978424).

Almost surely, 2513102205 is an apocalyptic number.

513102205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513102205 is a deficient number, since it is larger than the sum of its proper divisors (254552579).

513102205 is a wasteful number, since it uses less digits than its factorization.

513102205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332756.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 513102205 is about 22651.7594239388. The cubic root of 513102205 is about 800.5736536577.

The spelling of 513102205 in words is "five hundred thirteen million, one hundred two thousand, two hundred five".

Divisors: 1 5 7 11 35 55 77 385 1332733 6663665 9329131 14660063 46645655 73300315 102620441 513102205