Search a number
-
+
211211110217 is a prime number
BaseRepresentation
bin1100010010110100101…
…0011100011101001001
3202012011122222002111202
43010231022130131021
511430030021011332
6241010135033545
721155002546352
oct3045512343511
9665148862452
10211211110217
1181635190248
1234b2620b8b5
1316bbcbc0ac3
14a319026d29
155762814a62
hex312d29c749

211211110217 has 2 divisors, whose sum is σ = 211211110218. Its totient is φ = 211211110216.

The previous prime is 211211110207. The next prime is 211211110219. The reversal of 211211110217 is 712011112112.

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., 198644924416 + 12566185801 = 445696^2 + 112099^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211110217 - 26 = 211211110153 is a prime.

It is a super-2 number, since 2×2112111102172 (a number of 23 digits) contains 22 as substring.

Together with 211211110219, 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 (211211110219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605555108 + 105605555109.

It is an arithmetic number, because the mean of its divisors is an integer number (105605555109).

Almost surely, 2211211110217 is an apocalyptic number.

It is an amenable number.

211211110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211110217 is an equidigital number, since it uses as much as digits as its factorization.

211211110217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 211211110217 its reverse (712011112112), we get a palindrome (923222222329).

The spelling of 211211110217 in words is "two hundred eleven billion, two hundred eleven million, one hundred ten thousand, two hundred seventeen".