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212333330021 is a prime number
BaseRepresentation
bin1100010111000000001…
…1010111111001100101
3202022001212121202200012
43011300003113321211
511434324313030041
6241313344100005
721224550345251
oct3056003277145
9668055552605
10212333330021
11820606a162a
123519a004605
131703b5513a7
14a3c40ab261
1557cb0d93eb
hex31700d7e65

212333330021 has 2 divisors, whose sum is σ = 212333330022. Its totient is φ = 212333330020.

The previous prime is 212333329991. The next prime is 212333330039. The reversal of 212333330021 is 120033333212.

212333330021 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., 190698156100 + 21635173921 = 436690^2 + 147089^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333330021 - 214 = 212333313637 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212333332021) 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, 106166665010 + 106166665011.

It is an arithmetic number, because the mean of its divisors is an integer number (106166665011).

Almost surely, 2212333330021 is an apocalyptic number.

It is an amenable number.

212333330021 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333330021 is an equidigital number, since it uses as much as digits as its factorization.

212333330021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 212333330021 its reverse (120033333212), we get a palindrome (332366663233).

The spelling of 212333330021 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred thirty thousand, twenty-one".