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21212017 is a prime number
BaseRepresentation
bin101000011101…
…0101101110001
31110220200102021
41100322231301
520412241032
62034351441
7345204421
oct120725561
943820367
1021212017
1110a789a2
12712b581
134518cb8
142b62481
151ce0097
hex143ab71

21212017 has 2 divisors, whose sum is σ = 21212018. Its totient is φ = 21212016.

The previous prime is 21211997. The next prime is 21212033. The reversal of 21212017 is 71021212.

It is an a-pointer prime, because the next prime (21212033) can be obtained adding 21212017 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20214016 + 998001 = 4496^2 + 999^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212017 - 223 = 12823409 is a prime.

It is not a weakly prime, because it can be changed into another prime (21212077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606008 + 10606009.

It is an arithmetic number, because the mean of its divisors is an integer number (10606009).

Almost surely, 221212017 is an apocalyptic number.

It is an amenable number.

21212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212017 is an equidigital number, since it uses as much as digits as its factorization.

21212017 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 16.

The square root of 21212017 is about 4605.6505512251. The cubic root of 21212017 is about 276.8177847353.

Adding to 21212017 its reverse (71021212), we get a palindrome (92233229).

The spelling of 21212017 in words is "twenty-one million, two hundred twelve thousand, seventeen".