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221300301017 is a prime number
BaseRepresentation
bin1100111000011010000…
…1101001110011011001
3210011012210120002102002
43032012201221303121
512111210334113032
6245355225250345
721663012343655
oct3160641516331
9704183502362
10221300301017
1185942283664
1236a810339b5
1317b3a208aa3
14a9d4d65a65
155b5343e862
hex3386869cd9

221300301017 has 2 divisors, whose sum is σ = 221300301018. Its totient is φ = 221300301016.

The previous prime is 221300300951. The next prime is 221300301023. The reversal of 221300301017 is 710103003122.

221300301017 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., 186925657801 + 34374643216 = 432349^2 + 185404^2 .

It is a cyclic number.

It is not a de Polignac number, because 221300301017 - 214 = 221300284633 is a prime.

It is a super-2 number, since 2×2213003010172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221300301017.

It is not a weakly prime, because it can be changed into another prime (221300301077) 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, 110650150508 + 110650150509.

It is an arithmetic number, because the mean of its divisors is an integer number (110650150509).

Almost surely, 2221300301017 is an apocalyptic number.

It is an amenable number.

221300301017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300301017 is an equidigital number, since it uses as much as digits as its factorization.

221300301017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 221300301017 its reverse (710103003122), we get a palindrome (931403304139).

The spelling of 221300301017 in words is "two hundred twenty-one billion, three hundred million, three hundred one thousand, seventeen".