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213311079353 is a prime number
BaseRepresentation
bin1100011010101001010…
…1001100001110111001
3202101121000102120121102
43012222111030032321
511443330114014403
6241554352421145
721261022154351
oct3065225141671
9671530376542
10213311079353
11825125a8129
12354115477b5
1317165c9a8a8
14a477ca5b61
155836d72b88
hex31aa54c3b9

213311079353 has 2 divisors, whose sum is σ = 213311079354. Its totient is φ = 213311079352.

The previous prime is 213311079281. The next prime is 213311079361. The reversal of 213311079353 is 353970113312.

213311079353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196362424384 + 16948654969 = 443128^2 + 130187^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311079353 - 220 = 213310030777 is a prime.

It is not a weakly prime, because it can be changed into another prime (213311079383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106655539676 + 106655539677.

It is an arithmetic number, because the mean of its divisors is an integer number (106655539677).

Almost surely, 2213311079353 is an apocalyptic number.

It is an amenable number.

213311079353 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311079353 is an equidigital number, since it uses as much as digits as its factorization.

213311079353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 38.

The spelling of 213311079353 in words is "two hundred thirteen billion, three hundred eleven million, seventy-nine thousand, three hundred fifty-three".