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212331022217 is a prime number
BaseRepresentation
bin1100010110111111101…
…0100100011110001001
3202022001201021111221222
43011233322210132021
511434323220202332
6241313222411425
721224521624046
oct3055772443611
9668051244858
10212331022217
118205a365756
1235199290b75
131703ac23b22
14a3c3a6a1cd
1557cacd0712
hex316fea4789

212331022217 has 2 divisors, whose sum is σ = 212331022218. Its totient is φ = 212331022216.

The previous prime is 212331022213. The next prime is 212331022219. The reversal of 212331022217 is 712220133212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211890819856 + 440202361 = 460316^2 + 20981^2 .

It is a cyclic number.

It is not a de Polignac number, because 212331022217 - 22 = 212331022213 is a prime.

It is a super-2 number, since 2×2123310222172 (a number of 23 digits) contains 22 as substring.

Together with 212331022219, 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 (212331022213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106165511108 + 106165511109.

It is an arithmetic number, because the mean of its divisors is an integer number (106165511109).

Almost surely, 2212331022217 is an apocalyptic number.

It is an amenable number.

212331022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212331022217 is an equidigital number, since it uses as much as digits as its factorization.

212331022217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 212331022217 its reverse (712220133212), we get a palindrome (924551155429).

The spelling of 212331022217 in words is "two hundred twelve billion, three hundred thirty-one million, twenty-two thousand, two hundred seventeen".