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212013022313 is a prime number
BaseRepresentation
bin1100010101110011110…
…1011111110001101001
3202021020112220110002202
43011130331133301221
511433200313203223
6241221502505545
721213610645451
oct3053475376151
9667215813082
10212013022313
1181a06907714
123510a8952b5
1316cba0930c1
14a39372cd61
1557ace18428
hex315cf5fc69

212013022313 has 2 divisors, whose sum is σ = 212013022314. Its totient is φ = 212013022312.

The previous prime is 212013022283. The next prime is 212013022349. The reversal of 212013022313 is 313220310212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197310974809 + 14702047504 = 444197^2 + 121252^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013022313 - 214 = 212013005929 is a prime.

It is not a weakly prime, because it can be changed into another prime (212013022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006511156 + 106006511157.

It is an arithmetic number, because the mean of its divisors is an integer number (106006511157).

Almost surely, 2212013022313 is an apocalyptic number.

It is an amenable number.

212013022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013022313 is an equidigital number, since it uses as much as digits as its factorization.

212013022313 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 212013022313 its reverse (313220310212), we get a palindrome (525233332525).

The spelling of 212013022313 in words is "two hundred twelve billion, thirteen million, twenty-two thousand, three hundred thirteen".