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221211011017 is a prime number
BaseRepresentation
bin1100111000000100110…
…1000010011111001001
3210010222120112200120001
43032001031002133021
512111020004323032
6245342315403001
721660546366163
oct3160115023711
9703876480501
10221211011017
11858a6937777
1236a57153461
1317b24875079
14a9c7161933
155b4a6a33e7
hex33813427c9

221211011017 has 2 divisors, whose sum is σ = 221211011018. Its totient is φ = 221211011016.

The previous prime is 221211011003. The next prime is 221211011041. The reversal of 221211011017 is 710110112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121061547721 + 100149463296 = 347939^2 + 316464^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211011017 - 235 = 186851272649 is a prime.

It is a super-2 number, since 2×2212110110172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221211010985 and 221211011003.

It is not a weakly prime, because it can be changed into another prime (221211011317) 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, 110605505508 + 110605505509.

It is an arithmetic number, because the mean of its divisors is an integer number (110605505509).

Almost surely, 2221211011017 is an apocalyptic number.

It is an amenable number.

221211011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211011017 is an equidigital number, since it uses as much as digits as its factorization.

221211011017 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 19.

Adding to 221211011017 its reverse (710110112122), we get a palindrome (931321123139).

The spelling of 221211011017 in words is "two hundred twenty-one billion, two hundred eleven million, eleven thousand, seventeen".