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221211011317 is a prime number
BaseRepresentation
bin1100111000000100110…
…1000010100011110101
3210010222120112200222011
43032001031002203311
512111020004330232
6245342315404221
721660546400102
oct3160115024365
9703876480864
10221211011317
11858a6937a1a
1236a57153671
1317b2487524a
14a9c7161aa9
155b4a6a3547
hex33813428f5

221211011317 has 2 divisors, whose sum is σ = 221211011318. Its totient is φ = 221211011316.

The previous prime is 221211011261. The next prime is 221211011369. The reversal of 221211011317 is 713110112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220908460081 + 302551236 = 470009^2 + 17394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221211011317 is a prime.

It is a super-4 number, since 4×2212110113174 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221211011377) 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, 110605505658 + 110605505659.

It is an arithmetic number, because the mean of its divisors is an integer number (110605505659).

Almost surely, 2221211011317 is an apocalyptic number.

It is an amenable number.

221211011317 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211011317 is an equidigital number, since it uses as much as digits as its factorization.

221211011317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 221211011317 its reverse (713110112122), we get a palindrome (934321123439).

The spelling of 221211011317 in words is "two hundred twenty-one billion, two hundred eleven million, eleven thousand, three hundred seventeen".