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213102302213 is a prime number
BaseRepresentation
bin1100011001110111100…
…0110001010000000101
3202101001110120121012202
43012131320301100011
511442413142132323
6241521533524245
721252605452553
oct3063570612005
9671043517182
10213102302213
118241576a839
1235373643685
131713195c518
14a45827abd3
155823882d28
hex319de31405

213102302213 has 2 divisors, whose sum is σ = 213102302214. Its totient is φ = 213102302212.

The previous prime is 213102302191. The next prime is 213102302227. The reversal of 213102302213 is 312203201312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189070171684 + 24032130529 = 434822^2 + 155023^2 .

It is a cyclic number.

It is not a de Polignac number, because 213102302213 - 214 = 213102285829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213102302233) 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, 106551151106 + 106551151107.

It is an arithmetic number, because the mean of its divisors is an integer number (106551151107).

Almost surely, 2213102302213 is an apocalyptic number.

It is an amenable number.

213102302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213102302213 is an equidigital number, since it uses as much as digits as its factorization.

213102302213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213102302213 its reverse (312203201312), we get a palindrome (525305503525).

The spelling of 213102302213 in words is "two hundred thirteen billion, one hundred two million, three hundred two thousand, two hundred thirteen".