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205355098393 is a prime number
BaseRepresentation
bin1011111101000000011…
…1100010000100011001
3201122001112211212110221
42333100013202010121
511331031401122033
6234201104240041
720556614351524
oct2772007420431
9648045755427
10205355098393
117a0aa665955
1233971010021
13164988ca753
149d213b9bbb
15551d67012d
hex2fd01e2119

205355098393 has 2 divisors, whose sum is σ = 205355098394. Its totient is φ = 205355098392.

The previous prime is 205355098391. The next prime is 205355098477. The reversal of 205355098393 is 393890553502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204763490064 + 591608329 = 452508^2 + 24323^2 .

It is a cyclic number.

It is not a de Polignac number, because 205355098393 - 21 = 205355098391 is a prime.

It is a super-2 number, since 2×2053550983932 (a number of 23 digits) contains 22 as substring.

Together with 205355098391, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 205355098393.

It is not a weakly prime, because it can be changed into another prime (205355098391) 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, 102677549196 + 102677549197.

It is an arithmetic number, because the mean of its divisors is an integer number (102677549197).

Almost surely, 2205355098393 is an apocalyptic number.

It is an amenable number.

205355098393 is a deficient number, since it is larger than the sum of its proper divisors (1).

205355098393 is an equidigital number, since it uses as much as digits as its factorization.

205355098393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374000, while the sum is 52.

The spelling of 205355098393 in words is "two hundred five billion, three hundred fifty-five million, ninety-eight thousand, three hundred ninety-three".