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213342444313 is a prime number
BaseRepresentation
bin1100011010110000110…
…0110101101100011001
3202101200012110002020121
43012230030311230121
511443411131204223
6242001432553241
721261552566365
oct3065414655431
9671605402217
10213342444313
1182529280089
123541bb52821
131716c62cc3b
14a47c10c2a5
1558399bb15d
hex31ac335b19

213342444313 has 2 divisors, whose sum is σ = 213342444314. Its totient is φ = 213342444312.

The previous prime is 213342444307. The next prime is 213342444317. The reversal of 213342444313 is 313444243312.

213342444313 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., 164533263129 + 48809181184 = 405627^2 + 220928^2 .

It is a cyclic number.

It is not a de Polignac number, because 213342444313 - 29 = 213342443801 is a prime.

It is not a weakly prime, because it can be changed into another prime (213342444317) 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, 106671222156 + 106671222157.

It is an arithmetic number, because the mean of its divisors is an integer number (106671222157).

Almost surely, 2213342444313 is an apocalyptic number.

It is an amenable number.

213342444313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213342444313 is an equidigital number, since it uses as much as digits as its factorization.

213342444313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 34.

Adding to 213342444313 its reverse (313444243312), we get a palindrome (526786687625).

The spelling of 213342444313 in words is "two hundred thirteen billion, three hundred forty-two million, four hundred forty-four thousand, three hundred thirteen".