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213021133217 is a prime number
BaseRepresentation
bin1100011001100100001…
…1001000100110100001
3202100211210211210021122
43012121003020212201
511442231402230332
6241505514102025
721250601520344
oct3063103104641
9670753753248
10213021133217
1182383970322
123535041a915
131711abb0029
14a44b58c45b
15581b69cc12
hex31990c89a1

213021133217 has 2 divisors, whose sum is σ = 213021133218. Its totient is φ = 213021133216.

The previous prime is 213021133201. The next prime is 213021133219. The reversal of 213021133217 is 712331120312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168934152256 + 44086980961 = 411016^2 + 209969^2 .

It is a cyclic number.

It is not a de Polignac number, because 213021133217 - 24 = 213021133201 is a prime.

Together with 213021133219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213021133219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106510566608 + 106510566609.

It is an arithmetic number, because the mean of its divisors is an integer number (106510566609).

Almost surely, 2213021133217 is an apocalyptic number.

It is an amenable number.

213021133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213021133217 is an equidigital number, since it uses as much as digits as its factorization.

213021133217 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 26.

Adding to 213021133217 its reverse (712331120312), we get a palindrome (925352253529).

The spelling of 213021133217 in words is "two hundred thirteen billion, twenty-one million, one hundred thirty-three thousand, two hundred seventeen".