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2204201313 = 32244911257
BaseRepresentation
bin1000001101100001…
…0111000101100001
312200121121000202200
42003120113011201
514003233420223
61002415403413
7105423254616
oct20330270541
95617530680
102204201313
11a3123a086
12516223569
13291872a42
1416ca5250d
15cd79ba43
hex83617161

2204201313 has 6 divisors (see below), whose sum is σ = 3183846354. Its totient is φ = 1469467536.

The previous prime is 2204201291. The next prime is 2204201359. The reversal of 2204201313 is 3131024022.

2204201313 is a `hidden beast` number, since 220 + 420 + 13 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2087301969 + 116899344 = 45687^2 + 10812^2 .

It is not a de Polignac number, because 2204201313 - 216 = 2204135777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2204201383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122455620 + ... + 122455637.

It is an arithmetic number, because the mean of its divisors is an integer number (530641059).

Almost surely, 22204201313 is an apocalyptic number.

It is an amenable number.

2204201313 is a deficient number, since it is larger than the sum of its proper divisors (979645041).

2204201313 is a wasteful number, since it uses less digits than its factorization.

2204201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244911263 (or 244911260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2204201313 is about 46948.9223837992. The cubic root of 2204201313 is about 1301.4188282361.

Adding to 2204201313 its reverse (3131024022), we get a palindrome (5335225335).

The spelling of 2204201313 in words is "two billion, two hundred four million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 244911257 734733771 2204201313