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211222310232229 is a prime number
BaseRepresentation
bin110000000001101100000110…
…110001010010000010100101
31000200212122200222012122110121
4300001230012301102002211
5210141131242404412404
62025122104552521541
762330210516351032
oct6001540661220245
91020778628178417
10211222310232229
116133597363210a
121b8343703b02b1
1390b2241bc533a
143a233002d6389
15196459c67be54
hexc01b06c520a5

211222310232229 has 2 divisors, whose sum is σ = 211222310232230. Its totient is φ = 211222310232228.

The previous prime is 211222310232191. The next prime is 211222310232257. The reversal of 211222310232229 is 922232013222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106180350228225 + 105041960004004 = 10304385^2 + 10248998^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222310232229 - 217 = 211222310101157 is a prime.

It is a super-2 number, since 2×2112223102322292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222310232194 and 211222310232203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222310238229) 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, 105611155116114 + 105611155116115.

It is an arithmetic number, because the mean of its divisors is an integer number (105611155116115).

Almost surely, 2211222310232229 is an apocalyptic number.

It is an amenable number.

211222310232229 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222310232229 is an equidigital number, since it uses as much as digits as its factorization.

211222310232229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 211222310232229 in words is "two hundred eleven trillion, two hundred twenty-two billion, three hundred ten million, two hundred thirty-two thousand, two hundred twenty-nine".