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213112222223161 is a prime number
BaseRepresentation
bin110000011101001100001110…
…010011011000101100111001
31000221120022220012001012022111
4300131030032103120230321
5210413112312342120121
62033130223041452321
762613564351254332
oct6035141623305471
91027508805035274
10213112222223161
11619a4427691318
121ba9a6b00410a1
1391bb51c956b31
143a8a988013289
15199881097a2e1
hexc1d30e4d8b39

213112222223161 has 2 divisors, whose sum is σ = 213112222223162. Its totient is φ = 213112222223160.

The previous prime is 213112222223071. The next prime is 213112222223209. The reversal of 213112222223161 is 161322222211312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146086383024400 + 67025839198761 = 12086620^2 + 8186931^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112222223161 - 241 = 210913198967609 is a prime.

It is not a weakly prime, because it can be changed into another prime (213112222233161) 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, 106556111111580 + 106556111111581.

It is an arithmetic number, because the mean of its divisors is an integer number (106556111111581).

Almost surely, 2213112222223161 is an apocalyptic number.

It is an amenable number.

213112222223161 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112222223161 is an equidigital number, since it uses as much as digits as its factorization.

213112222223161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

Adding to 213112222223161 its reverse (161322222211312), we get a palindrome (374434444434473).

The spelling of 213112222223161 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred sixty-one".