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212333320313 is a prime number
BaseRepresentation
bin1100010111000000001…
…1010101100001111001
3202022001212121021100122
43011300003111201321
511434324312222223
6241313343543025
721224550305042
oct3056003254171
9668055537318
10212333320313
1182060695304
1235199bbaa75
131703b549b4a
14a3c40a78c9
1557cb0d65c8
hex31700d5879

212333320313 has 2 divisors, whose sum is σ = 212333320314. Its totient is φ = 212333320312.

The previous prime is 212333320307. The next prime is 212333320337. The reversal of 212333320313 is 313023333212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211482256384 + 851063929 = 459872^2 + 29173^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333320313 - 226 = 212266211449 is a prime.

It is not a weakly prime, because it can be changed into another prime (212333320363) 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, 106166660156 + 106166660157.

It is an arithmetic number, because the mean of its divisors is an integer number (106166660157).

Almost surely, 2212333320313 is an apocalyptic number.

It is an amenable number.

212333320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333320313 is an equidigital number, since it uses as much as digits as its factorization.

212333320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 212333320313 its reverse (313023333212), we get a palindrome (525356653525).

The spelling of 212333320313 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred twenty thousand, three hundred thirteen".