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205052314153 is a prime number
BaseRepresentation
bin1011111011111000010…
…0100000001000101001
3201121021110002211120211
42332332010200020221
511324421343023103
6234111050421121
720546246624611
oct2767604401051
9647243084524
10205052314153
1179a6475a645
12338a77317a1
131644ac6658b
149cd30bda41
155501cb136d
hex2fbe120229

205052314153 has 2 divisors, whose sum is σ = 205052314154. Its totient is φ = 205052314152.

The previous prime is 205052314141. The next prime is 205052314183. The reversal of 205052314153 is 351413250502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172185162304 + 32867151849 = 414952^2 + 181293^2 .

It is a cyclic number.

It is not a de Polignac number, because 205052314153 - 225 = 205018759721 is a prime.

It is not a weakly prime, because it can be changed into another prime (205052314133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102526157076 + 102526157077.

It is an arithmetic number, because the mean of its divisors is an integer number (102526157077).

Almost surely, 2205052314153 is an apocalyptic number.

It is an amenable number.

205052314153 is a deficient number, since it is larger than the sum of its proper divisors (1).

205052314153 is an equidigital number, since it uses as much as digits as its factorization.

205052314153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 205052314153 its reverse (351413250502), we get a palindrome (556465564655).

The spelling of 205052314153 in words is "two hundred five billion, fifty-two million, three hundred fourteen thousand, one hundred fifty-three".