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300221102221 is a prime number
BaseRepresentation
bin1000101111001101001…
…00100111100010001101
31001200220220222011222021
410113212210213202031
514404323100232341
6345530352050141
730455521156255
oct4274644474215
91050826864867
10300221102221
11106360a92707
124a227533951
1322406893c21
1410760658965
157c21cd59d1
hex45e692788d

300221102221 has 2 divisors, whose sum is σ = 300221102222. Its totient is φ = 300221102220.

The previous prime is 300221102183. The next prime is 300221102231. The reversal of 300221102221 is 122201122003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277423424100 + 22797678121 = 526710^2 + 150989^2 .

It is a cyclic number.

It is not a de Polignac number, because 300221102221 - 225 = 300187547789 is a prime.

It is a super-2 number, since 2×3002211022212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300221102195 and 300221102204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300221102231) 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, 150110551110 + 150110551111.

It is an arithmetic number, because the mean of its divisors is an integer number (150110551111).

Almost surely, 2300221102221 is an apocalyptic number.

It is an amenable number.

300221102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

300221102221 is an equidigital number, since it uses as much as digits as its factorization.

300221102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 300221102221 its reverse (122201122003), we get a palindrome (422422224224).

The spelling of 300221102221 in words is "three hundred billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".