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204800801 is a prime number
BaseRepresentation
bin11000011010100…
…00001100100001
3112021100221212212
430031100030201
5404412111201
632153331505
75034530612
oct1415201441
9467327785
10204800801
11a5671967
1258706b95
133357850a
141d2b1c09
1512ea6abb
hexc350321

204800801 has 2 divisors, whose sum is σ = 204800802. Its totient is φ = 204800800.

The previous prime is 204800779. The next prime is 204800803. The reversal of 204800801 is 108008402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193877776 + 10923025 = 13924^2 + 3305^2 .

It is a cyclic number.

It is not a de Polignac number, because 204800801 - 26 = 204800737 is a prime.

Together with 204800803, 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 (204800803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102400400 + 102400401.

It is an arithmetic number, because the mean of its divisors is an integer number (102400401).

Almost surely, 2204800801 is an apocalyptic number.

It is an amenable number.

204800801 is a deficient number, since it is larger than the sum of its proper divisors (1).

204800801 is an equidigital number, since it uses as much as digits as its factorization.

204800801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 204800801 is about 14310.8630417596. The cubic root of 204800801 is about 589.4458082474.

The spelling of 204800801 in words is "two hundred four million, eight hundred thousand, eight hundred one".