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211210217 is a prime number
BaseRepresentation
bin11001001011011…
…00111111101001
3112201102120221122
430211230333221
5413032211332
632542545025
75143154141
oct1445547751
9481376848
10211210217
11a924a3a9
125a898175
13349b097a
142009d921
1513820c12
hexc96cfe9

211210217 has 2 divisors, whose sum is σ = 211210218. Its totient is φ = 211210216.

The previous prime is 211210177. The next prime is 211210249. The reversal of 211210217 is 712012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166306816 + 44903401 = 12896^2 + 6701^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210217 - 28 = 211209961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211210195 and 211210204.

It is not a weakly prime, because it can be changed into another prime (211210267) 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, 105605108 + 105605109.

It is an arithmetic number, because the mean of its divisors is an integer number (105605109).

Almost surely, 2211210217 is an apocalyptic number.

It is an amenable number.

211210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210217 is an equidigital number, since it uses as much as digits as its factorization.

211210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 211210217 is about 14533.0732125040. The cubic root of 211210217 is about 595.5318240105.

Adding to 211210217 its reverse (712012112), we get a palindrome (923222329).

The spelling of 211210217 in words is "two hundred eleven million, two hundred ten thousand, two hundred seventeen".