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211090000241 is a prime number
BaseRepresentation
bin1100010010010111110…
…0011100100101110001
3202011212020002001212002
43010211330130211301
511424303020001431
6240550131143345
721152002253141
oct3044574344561
9664766061762
10211090000241
118158289055a
1234ab1744b55
1316ba0a988b3
14a306cdc921
155756d903cb
hex3125f1c971

211090000241 has 2 divisors, whose sum is σ = 211090000242. Its totient is φ = 211090000240.

The previous prime is 211090000223. The next prime is 211090000243. The reversal of 211090000241 is 142000090112.

211090000241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210792092641 + 297907600 = 459121^2 + 17260^2 .

It is a cyclic number.

It is not a de Polignac number, because 211090000241 - 234 = 193910131057 is a prime.

Together with 211090000243, 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 (211090000243) 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 as a sum of consecutive naturals, namely, 105545000120 + 105545000121.

It is an arithmetic number, because the mean of its divisors is an integer number (105545000121).

Almost surely, 2211090000241 is an apocalyptic number.

It is an amenable number.

211090000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

211090000241 is an equidigital number, since it uses as much as digits as its factorization.

211090000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211090000241 its reverse (142000090112), we get a palindrome (353090090353).

The spelling of 211090000241 in words is "two hundred eleven billion, ninety million, two hundred forty-one", and thus it is an aban number.