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213122220317 is a prime number
BaseRepresentation
bin1100011001111100010…
…0110000000100011101
3202101002212001112201022
43012133010300010131
511442433242022232
6241523524453525
721253236661046
oct3063704600435
9671085045638
10213122220317
1182425a34586
123537a24a2a5
1317135b14596
14a45ab838cd
1558254b9812
hex319f13011d

213122220317 has 2 divisors, whose sum is σ = 213122220318. Its totient is φ = 213122220316.

The previous prime is 213122220307. The next prime is 213122220359. The reversal of 213122220317 is 713022221312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165572492836 + 47549727481 = 406906^2 + 218059^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122220317 - 212 = 213122216221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122220307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561110158 + 106561110159.

It is an arithmetic number, because the mean of its divisors is an integer number (106561110159).

Almost surely, 2213122220317 is an apocalyptic number.

It is an amenable number.

213122220317 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122220317 is an equidigital number, since it uses as much as digits as its factorization.

213122220317 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 213122220317 its reverse (713022221312), we get a palindrome (926144441629).

The spelling of 213122220317 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred twenty thousand, three hundred seventeen".