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204304867201 is a prime number
BaseRepresentation
bin1011111001000110000…
…1001101111110000001
3201112100100122121010101
42332101201031332001
511321404021222301
6233504550202401
720521602501151
oct2762141157601
9645310577111
10204304867201
1179710853696
1233719353401
131635c153b86
149c61b14761
1554ab36a701
hex2f9184df81

204304867201 has 2 divisors, whose sum is σ = 204304867202. Its totient is φ = 204304867200.

The previous prime is 204304867127. The next prime is 204304867213. The reversal of 204304867201 is 102768403402.

204304867201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186430514176 + 17874353025 = 431776^2 + 133695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204304867201 is a prime.

It is not a weakly prime, because it can be changed into another prime (204304867241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102152433600 + 102152433601.

It is an arithmetic number, because the mean of its divisors is an integer number (102152433601).

Almost surely, 2204304867201 is an apocalyptic number.

It is an amenable number.

204304867201 is a deficient number, since it is larger than the sum of its proper divisors (1).

204304867201 is an equidigital number, since it uses as much as digits as its factorization.

204304867201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 204304867201 in words is "two hundred four billion, three hundred four million, eight hundred sixty-seven thousand, two hundred one".