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300311300221 is a prime number
BaseRepresentation
bin1000101111010111111…
…00101100100001111101
31001201011012200201100221
410113223330230201331
514410014143101341
6345543333221341
730460664635222
oct4275374544175
91051135621327
10300311300221
111063a7999809
124a251791851
132241c48501a
141076c617949
157c29ba0ed1
hex45ebf2c87d

300311300221 has 2 divisors, whose sum is σ = 300311300222. Its totient is φ = 300311300220.

The previous prime is 300311300197. The next prime is 300311300227. The reversal of 300311300221 is 122003113003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244049832196 + 56261468025 = 494014^2 + 237195^2 .

It is a cyclic number.

It is not a de Polignac number, because 300311300221 - 211 = 300311298173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300311300195 and 300311300204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300311300227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150155650110 + 150155650111.

It is an arithmetic number, because the mean of its divisors is an integer number (150155650111).

Almost surely, 2300311300221 is an apocalyptic number.

It is an amenable number.

300311300221 is a deficient number, since it is larger than the sum of its proper divisors (1).

300311300221 is an equidigital number, since it uses as much as digits as its factorization.

300311300221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 300311300221 its reverse (122003113003), we get a palindrome (422314413224).

The spelling of 300311300221 in words is "three hundred billion, three hundred eleven million, three hundred thousand, two hundred twenty-one".