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204113321 is a prime number
BaseRepresentation
bin11000010101010…
…00010110101001
3112020002000211122
430022220112221
5404223111241
632130505025
75025635366
oct1412502651
9466060748
10204113321
11a52423a5
1258435175
1333397619
141d17346d
1512dbd04b
hexc2a85a9

204113321 has 2 divisors, whose sum is σ = 204113322. Its totient is φ = 204113320.

The previous prime is 204113311. The next prime is 204113323. The reversal of 204113321 is 123311402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116877721 + 87235600 = 10811^2 + 9340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204113321 is a prime.

Together with 204113323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204113321.

It is not a weakly prime, because it can be changed into another prime (204113323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102056660 + 102056661.

It is an arithmetic number, because the mean of its divisors is an integer number (102056661).

Almost surely, 2204113321 is an apocalyptic number.

It is an amenable number.

204113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

204113321 is an equidigital number, since it uses as much as digits as its factorization.

204113321 is an evil number, because the sum of its binary digits is even.

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

The square root of 204113321 is about 14286.8233348075. The cubic root of 204113321 is about 588.7855138204.

Adding to 204113321 its reverse (123311402), we get a palindrome (327424723).

It can be divided in two parts, 20411 and 3321, that added together give a palindrome (23732).

The spelling of 204113321 in words is "two hundred four million, one hundred thirteen thousand, three hundred twenty-one".