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212221010122229 is a prime number
BaseRepresentation
bin110000010000001110001101…
…111011000001010111110101
31000211102010112002020122022102
4300100032031323001113311
5210304012112042402404
62031204553001311445
762462314316350643
oct6020161573012765
91024363462218272
10212221010122229
1161690474695129
121b975a2aa95585
139155480a17b04
143a597a1bd0193
15198054ebd071e
hexc1038dec15f5

212221010122229 has 2 divisors, whose sum is σ = 212221010122230. Its totient is φ = 212221010122228.

The previous prime is 212221010122217. The next prime is 212221010122283. The reversal of 212221010122229 is 922221010122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205346807825329 + 6874202296900 = 14329927^2 + 2621870^2 .

It is a cyclic number.

It is not a de Polignac number, because 212221010122229 - 28 = 212221010121973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212221010122129) 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, 106110505061114 + 106110505061115.

It is an arithmetic number, because the mean of its divisors is an integer number (106110505061115).

Almost surely, 2212221010122229 is an apocalyptic number.

It is an amenable number.

212221010122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

212221010122229 is an equidigital number, since it uses as much as digits as its factorization.

212221010122229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 212221010122229 in words is "two hundred twelve trillion, two hundred twenty-one billion, ten million, one hundred twenty-two thousand, two hundred twenty-nine".