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212213242312217 is a prime number
BaseRepresentation
bin110000010000000110111110…
…111011001011011000011001
31000211101101110201202000012022
4300100012332323023120121
5210303400210012442332
62031201230114224225
762461620655144346
oct6020067673133031
91024341421660168
10212213242312217
1161688148996533
121b974421585075
13915481361ca23
143a592662c77cd
151980247c9c212
hexc101beecb619

212213242312217 has 2 divisors, whose sum is σ = 212213242312218. Its totient is φ = 212213242312216.

The previous prime is 212213242312157. The next prime is 212213242312241. The reversal of 212213242312217 is 712213242312212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126104567477641 + 86108674834576 = 11229629^2 + 9279476^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213242312217 - 26 = 212213242312153 is a prime.

It is not a weakly prime, because it can be changed into another prime (212213242314217) 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, 106106621156108 + 106106621156109.

It is an arithmetic number, because the mean of its divisors is an integer number (106106621156109).

Almost surely, 2212213242312217 is an apocalyptic number.

It is an amenable number.

212213242312217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213242312217 is an equidigital number, since it uses as much as digits as its factorization.

212213242312217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 35.

Adding to 212213242312217 its reverse (712213242312212), we get a palindrome (924426484624429).

The spelling of 212213242312217 in words is "two hundred twelve trillion, two hundred thirteen billion, two hundred forty-two million, three hundred twelve thousand, two hundred seventeen".