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213200121917 is a prime number
BaseRepresentation
bin1100011010001110110…
…1111011000000111101
3202101022021122100121202
43012203231323000331
511443113212400132
6241535350305245
721255204064316
oct3064355730075
9671267570552
10213200121917
1182465a02172
12353a0358225
1317148cbb7c3
14a46726160d
15582c256762
hex31a3b7b03d

213200121917 has 2 divisors, whose sum is σ = 213200121918. Its totient is φ = 213200121916.

The previous prime is 213200121913. The next prime is 213200121923. The reversal of 213200121917 is 719121002312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205481796601 + 7718325316 = 453301^2 + 87854^2 .

It is a cyclic number.

It is not a de Polignac number, because 213200121917 - 22 = 213200121913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213200121917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213200121913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600060958 + 106600060959.

It is an arithmetic number, because the mean of its divisors is an integer number (106600060959).

Almost surely, 2213200121917 is an apocalyptic number.

It is an amenable number.

213200121917 is a deficient number, since it is larger than the sum of its proper divisors (1).

213200121917 is an equidigital number, since it uses as much as digits as its factorization.

213200121917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 213200121917 in words is "two hundred thirteen billion, two hundred million, one hundred twenty-one thousand, nine hundred seventeen".