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211313331217 is a prime number
BaseRepresentation
bin1100010011001101000…
…0011000110000010001
3202012102210022110100201
43010303100120300101
511430232203044332
6241024230015201
721160353451642
oct3046320306021
9665383273321
10211313331217
118168795940a
1234b544a7501
1316c081314c1
14a3288356c9
15576b7a75e7
hex3133418c11

211313331217 has 2 divisors, whose sum is σ = 211313331218. Its totient is φ = 211313331216.

The previous prime is 211313331209. The next prime is 211313331233. The reversal of 211313331217 is 712133313112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210863721601 + 449609616 = 459199^2 + 21204^2 .

It is a cyclic number.

It is not a de Polignac number, because 211313331217 - 23 = 211313331209 is a prime.

It is not a weakly prime, because it can be changed into another prime (211313331517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105656665608 + 105656665609.

It is an arithmetic number, because the mean of its divisors is an integer number (105656665609).

Almost surely, 2211313331217 is an apocalyptic number.

It is an amenable number.

211313331217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211313331217 is an equidigital number, since it uses as much as digits as its factorization.

211313331217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 28.

Adding to 211313331217 its reverse (712133313112), we get a palindrome (923446644329).

The spelling of 211313331217 in words is "two hundred eleven billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred seventeen".