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204104202013 is a prime number
BaseRepresentation
bin1011111000010110001…
…1101111011100011101
3201111211101001202020101
42332011203233130131
511321001133431023
6233433021221101
720513615043355
oct2760543573435
9644741052211
10204104202013
1179618556998
1233682101791
13163296c5b8a
149c431dbb65
15549892e1ad
hex2f858ef71d

204104202013 has 2 divisors, whose sum is σ = 204104202014. Its totient is φ = 204104202012.

The previous prime is 204104202011. The next prime is 204104202047. The reversal of 204104202013 is 310202401402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186393383289 + 17710818724 = 431733^2 + 133082^2 .

It is a cyclic number.

It is not a de Polignac number, because 204104202013 - 21 = 204104202011 is a prime.

It is a super-3 number, since 3×2041042020133 (a number of 35 digits) contains 333 as substring.

Together with 204104202011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204104202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102052101006 + 102052101007.

It is an arithmetic number, because the mean of its divisors is an integer number (102052101007).

Almost surely, 2204104202013 is an apocalyptic number.

It is an amenable number.

204104202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

204104202013 is an equidigital number, since it uses as much as digits as its factorization.

204104202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 204104202013 its reverse (310202401402), we get a palindrome (514306603415).

The spelling of 204104202013 in words is "two hundred four billion, one hundred four million, two hundred two thousand, thirteen".