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213113744513 is a prime number
BaseRepresentation
bin1100011001111010010…
…0011010110010000001
3202101002021002221002122
43012132210122302001
511442424104311023
6241523023054025
721253104640205
oct3063644326201
9671067087078
10213113744513
118242117558a
1235377441315
1317134137707
14a4599b8b05
1558248932c8
hex319e91ac81

213113744513 has 2 divisors, whose sum is σ = 213113744514. Its totient is φ = 213113744512.

The previous prime is 213113744507. The next prime is 213113744537. The reversal of 213113744513 is 315447311312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120206437264 + 92907307249 = 346708^2 + 304807^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113744513 - 28 = 213113744257 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113744593) 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, 106556872256 + 106556872257.

It is an arithmetic number, because the mean of its divisors is an integer number (106556872257).

Almost surely, 2213113744513 is an apocalyptic number.

It is an amenable number.

213113744513 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113744513 is an equidigital number, since it uses as much as digits as its factorization.

213113744513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 35.

The spelling of 213113744513 in words is "two hundred thirteen billion, one hundred thirteen million, seven hundred forty-four thousand, five hundred thirteen".