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204121313 = 1121924673
BaseRepresentation
bin11000010101010…
…10010011100001
3112020002102210122
430022222103201
5404223340223
632131010025
75026000604
oct1412522341
9466072718
10204121313
11a5248400
1258439915
133339b156
141d17633b
1512dc05c8
hexc2aa4e1

204121313 has 18 divisors (see below), whose sum is σ = 236845602. Its totient is φ = 175760640.

The previous prime is 204121289. The next prime is 204121327. The reversal of 204121313 is 313121402.

It can be written as a sum of positive squares in only one way, i.e., 201980944 + 2140369 = 14212^2 + 1463^2 .

It is not a de Polignac number, because 204121313 - 26 = 204121249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204121291 and 204121300.

It is not an unprimeable number, because it can be changed into a prime (204121373) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41345 + ... + 46017.

It is an arithmetic number, because the mean of its divisors is an integer number (13158089).

Almost surely, 2204121313 is an apocalyptic number.

It is an amenable number.

204121313 is a deficient number, since it is larger than the sum of its proper divisors (32724289).

204121313 is a wasteful number, since it uses less digits than its factorization.

204121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 204121313 is about 14287.1030303557. The cubic root of 204121313 is about 588.7931982975.

Adding to 204121313 its reverse (313121402), we get a palindrome (517242715).

The spelling of 204121313 in words is "two hundred four million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 11 19 121 209 361 2299 3971 4673 43681 51403 88787 565433 976657 1686953 10743227 18556483 204121313