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211242130217 is a prime number
BaseRepresentation
bin1100010010111100000…
…0110001101100101001
3202012020211100001221122
43010233000301230221
511430110441131332
6241013203545025
721155530323566
oct3045700615451
9665224301848
10211242130217
1181650748008
1234b3468b175
1316bc6462131
14a31d1bd86d
1557653e0c12
hex312f031b29

211242130217 has 2 divisors, whose sum is σ = 211242130218. Its totient is φ = 211242130216.

The previous prime is 211242130171. The next prime is 211242130247. The reversal of 211242130217 is 712031242112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116104429081 + 95137701136 = 340741^2 + 308444^2 .

It is a cyclic number.

It is not a de Polignac number, because 211242130217 - 210 = 211242129193 is a prime.

It is not a weakly prime, because it can be changed into another prime (211242130247) 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, 105621065108 + 105621065109.

It is an arithmetic number, because the mean of its divisors is an integer number (105621065109).

Almost surely, 2211242130217 is an apocalyptic number.

It is an amenable number.

211242130217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211242130217 is an equidigital number, since it uses as much as digits as its factorization.

211242130217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 211242130217 its reverse (712031242112), we get a palindrome (923273372329).

The spelling of 211242130217 in words is "two hundred eleven billion, two hundred forty-two million, one hundred thirty thousand, two hundred seventeen".