Search a number
-
+
206353942241 is a prime number
BaseRepresentation
bin1100000000101110100…
…1110100011011100001
3201201122011100101122112
43000023221310123201
511340103102122431
6234444145045105
720623433365646
oct3001351643341
9651564311575
10206353942241
117a57246a037
1233bab626795
13165c7821605
149db7d05dcd
15557b1c3c2b
hex300ba746e1

206353942241 has 2 divisors, whose sum is σ = 206353942242. Its totient is φ = 206353942240.

The previous prime is 206353942231. The next prime is 206353942243. The reversal of 206353942241 is 142249353602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204051861841 + 2302080400 = 451721^2 + 47980^2 .

It is a cyclic number.

It is not a de Polignac number, because 206353942241 - 214 = 206353925857 is a prime.

Together with 206353942243, 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 (206353942243) 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, 103176971120 + 103176971121.

It is an arithmetic number, because the mean of its divisors is an integer number (103176971121).

Almost surely, 2206353942241 is an apocalyptic number.

It is an amenable number.

206353942241 is a deficient number, since it is larger than the sum of its proper divisors (1).

206353942241 is an equidigital number, since it uses as much as digits as its factorization.

206353942241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 206353942241 in words is "two hundred six billion, three hundred fifty-three million, nine hundred forty-two thousand, two hundred forty-one".