Search a number
-
+
211193841242017 is a prime number
BaseRepresentation
bin110000000001010001100101…
…111000101100111110100001
31000200202221012220210002200201
4300001101211320230332201
5210140144441324221032
62025101040011345201
762325152160052414
oct6001214570547641
91020687186702621
10211193841242017
1161324894629427
121b82a946152201
1390ac655a8bcba
143a21b9d343b7b
1519639831758e7
hexc01465e2cfa1

211193841242017 has 2 divisors, whose sum is σ = 211193841242018. Its totient is φ = 211193841242016.

The previous prime is 211193841241991. The next prime is 211193841242047. The reversal of 211193841242017 is 710242148391112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135169549547536 + 76024291694481 = 11626244^2 + 8719191^2 .

It is a cyclic number.

It is not a de Polignac number, because 211193841242017 - 219 = 211193840717729 is a prime.

It is not a weakly prime, because it can be changed into another prime (211193841242047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105596920621008 + 105596920621009.

It is an arithmetic number, because the mean of its divisors is an integer number (105596920621009).

Almost surely, 2211193841242017 is an apocalyptic number.

It is an amenable number.

211193841242017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211193841242017 is an equidigital number, since it uses as much as digits as its factorization.

211193841242017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 211193841242017 in words is "two hundred eleven trillion, one hundred ninety-three billion, eight hundred forty-one million, two hundred forty-two thousand, seventeen".