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212231321321177 is a prime number
BaseRepresentation
bin110000010000010111110100…
…100001000111111011011001
31000211110010010200120211010202
4300100113310201013323121
5210304144221224234202
62031213420102151545
762463130663164314
oct6020276441077331
91024403120524122
10212231321321177
1161694886032554
121b977a281225b5
139156435024572
143a5a09d3dd97b
151980955060802
hexc105f4847ed9

212231321321177 has 2 divisors, whose sum is σ = 212231321321178. Its totient is φ = 212231321321176.

The previous prime is 212231321321113. The next prime is 212231321321179. The reversal of 212231321321177 is 771123123132212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211869596059081 + 361725262096 = 14555741^2 + 601436^2 .

It is a cyclic number.

It is not a de Polignac number, because 212231321321177 - 26 = 212231321321113 is a prime.

Together with 212231321321179, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212231321321177.

It is not a weakly prime, because it can be changed into another prime (212231321321179) 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, 106115660660588 + 106115660660589.

It is an arithmetic number, because the mean of its divisors is an integer number (106115660660589).

Almost surely, 2212231321321177 is an apocalyptic number.

It is an amenable number.

212231321321177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212231321321177 is an equidigital number, since it uses as much as digits as its factorization.

212231321321177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

Adding to 212231321321177 its reverse (771123123132212), we get a palindrome (983354444453389).

The spelling of 212231321321177 in words is "two hundred twelve trillion, two hundred thirty-one billion, three hundred twenty-one million, three hundred twenty-one thousand, one hundred seventy-seven".