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204956201 is a prime number
BaseRepresentation
bin11000011011101…
…10001000101001
3112021122212001102
430031312020221
5404432044301
632200531145
75036045642
oct1415661051
9467585042
10204956201
11a576869a
1258780ab5
1333601178
141d3126c9
1512ed7b6b
hexc376229

204956201 has 2 divisors, whose sum is σ = 204956202. Its totient is φ = 204956200.

The previous prime is 204956117. The next prime is 204956203. The reversal of 204956201 is 102659402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196981225 + 7974976 = 14035^2 + 2824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204956201 is a prime.

It is a super-3 number, since 3×2049562013 (a number of 26 digits) contains 333 as substring.

Together with 204956203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (204956203) 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 as a sum of consecutive naturals, namely, 102478100 + 102478101.

It is an arithmetic number, because the mean of its divisors is an integer number (102478101).

Almost surely, 2204956201 is an apocalyptic number.

It is an amenable number.

204956201 is a deficient number, since it is larger than the sum of its proper divisors (1).

204956201 is an equidigital number, since it uses as much as digits as its factorization.

204956201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 204956201 is about 14316.2914541441. The cubic root of 204956201 is about 589.5948583157.

The spelling of 204956201 in words is "two hundred four million, nine hundred fifty-six thousand, two hundred one".