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221211212017 is a prime number
BaseRepresentation
bin1100111000000100110…
…1110011100011110001
3210010222120220220021111
43032001031303203301
512111020032241032
6245342323553321
721660551164165
oct3160115634361
9703876826244
10221211212017
11858a6a64794
1236a5722b841
1317b249156c3
14a9c71b4ca5
155b4a6e2c47
hex33813738f1

221211212017 has 2 divisors, whose sum is σ = 221211212018. Its totient is φ = 221211212016.

The previous prime is 221211211999. The next prime is 221211212021. The reversal of 221211212017 is 710212112122.

221211212017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214854498576 + 6356713441 = 463524^2 + 79729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221211212017 is a prime.

It is not a weakly prime, because it can be changed into another prime (221211212077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605606008 + 110605606009.

It is an arithmetic number, because the mean of its divisors is an integer number (110605606009).

Almost surely, 2221211212017 is an apocalyptic number.

It is an amenable number.

221211212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211212017 is an equidigital number, since it uses as much as digits as its factorization.

221211212017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 221211212017 its reverse (710212112122), we get a palindrome (931423324139).

The spelling of 221211212017 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, seventeen".