Search a number
-
+
212122096906717 is a prime number
BaseRepresentation
bin110000001110110010000110…
…001111000011000111011101
31000211001200012122120200010001
4300032302012033003013131
5210300402023302003332
62031051313540014301
762452213210034224
oct6016620617030735
91024050178520101
10212122096906717
1161652526768328
121b95a825091391
13914904940ca1a
143a54a9b22bcbb
15197cbb10bb0e7
hexc0ec863c31dd

212122096906717 has 2 divisors, whose sum is σ = 212122096906718. Its totient is φ = 212122096906716.

The previous prime is 212122096906697. The next prime is 212122096906757. The reversal of 212122096906717 is 717609690221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171370458449316 + 40751638457401 = 13090854^2 + 6383701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122096906717 is a prime.

It is a super-2 number, since 2×2121220969067172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122096906757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061048453358 + 106061048453359.

It is an arithmetic number, because the mean of its divisors is an integer number (106061048453359).

Almost surely, 2212122096906717 is an apocalyptic number.

It is an amenable number.

212122096906717 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122096906717 is an equidigital number, since it uses as much as digits as its factorization.

212122096906717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 212122096906717 in words is "two hundred twelve trillion, one hundred twenty-two billion, ninety-six million, nine hundred six thousand, seven hundred seventeen".