205303223201 has 8 divisors (see below), whose sum is σ = 206824139424. Its totient is φ = 203782631200.

The previous prime is 205303223141. The next prime is 205303223243. The reversal of 205303223201 is 102322303502.

205303223201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205303223201 - 2³⁴ = 188123354017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205303223501) 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 in 7 ways as a sum of consecutive naturals, for example, 1273526 + ... + 1425648.

It is an arithmetic number, because the mean of its divisors is an integer number (25853017428).

Almost surely, 2^205303223201 is an apocalyptic number.

It is an amenable number.

205303223201 is a deficient number, since it is larger than the sum of its proper divisors (1520916223).

205303223201 is a wasteful number, since it uses less digits than its factorization.

205303223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162111.

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 205303223201 its reverse (102322303502), we get a palindrome (307625526703).

The spelling of 205303223201 in words is "two hundred five billion, three hundred three million, two hundred twenty-three thousand, two hundred one".