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221011122217 is a prime number
BaseRepresentation
bin1100110111010101001…
…0100001100000101001
3210010110122102021200011
43031311102201200221
512110112321402332
6245310415211521
721652601354044
oct3156522414051
9703418367604
10221011122217
1185804020316
1236a00216ba1
1317ac2329582
14a9a87abc5b
155b37d6be47
hex33754a1829

221011122217 has 2 divisors, whose sum is σ = 221011122218. Its totient is φ = 221011122216.

The previous prime is 221011122179. The next prime is 221011122281. The reversal of 221011122217 is 712221110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159944804761 + 61066317456 = 399931^2 + 247116^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011122217 - 227 = 220876904489 is a prime.

It is a super-2 number, since 2×2210111222172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221011123217) 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, 110505561108 + 110505561109.

It is an arithmetic number, because the mean of its divisors is an integer number (110505561109).

Almost surely, 2221011122217 is an apocalyptic number.

It is an amenable number.

221011122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011122217 is an equidigital number, since it uses as much as digits as its factorization.

221011122217 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 221011122217 its reverse (712221110122), we get a palindrome (933232232339).

The spelling of 221011122217 in words is "two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, two hundred seventeen".