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212122022293 is a prime number
BaseRepresentation
bin1100010110001101110…
…1010011000110010101
3202021112011000012222001
43011203131103012111
511433411214203133
6241240355035301
721216403303606
oct3054335230625
9667464005861
10212122022293
1181a62395a45
123513b29bb31
131700683822c
14a3a3dc3dad
1557b779987d
hex3163753195

212122022293 has 2 divisors, whose sum is σ = 212122022294. Its totient is φ = 212122022292.

The previous prime is 212122022213. The next prime is 212122022309. The reversal of 212122022293 is 392220221212.

212122022293 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., 200989029124 + 11132993169 = 448318^2 + 105513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122022293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122022213) 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, 106061011146 + 106061011147.

It is an arithmetic number, because the mean of its divisors is an integer number (106061011147).

Almost surely, 2212122022293 is an apocalyptic number.

It is an amenable number.

212122022293 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122022293 is an equidigital number, since it uses as much as digits as its factorization.

212122022293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 212122022293 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, two hundred ninety-three".