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301220313013 is a prime number
BaseRepresentation
bin1000110001000100010…
…00010011011110110101
31001210111120011100111101
410120202020103132311
514413344400004023
6350213444410101
730522343262254
oct4304210233665
91053446140441
10301220313013
11106824017554
124a4660a6931
13225358b5b09
141081723c79b
157c7e8ad1ad
hex46222137b5

301220313013 has 2 divisors, whose sum is σ = 301220313014. Its totient is φ = 301220313012.

The previous prime is 301220312969. The next prime is 301220313109. The reversal of 301220313013 is 310313022103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221900349969 + 79319963044 = 471063^2 + 281638^2 .

It is a cyclic number.

It is not a de Polignac number, because 301220313013 - 221 = 301218215861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301220313113) 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, 150610156506 + 150610156507.

It is an arithmetic number, because the mean of its divisors is an integer number (150610156507).

Almost surely, 2301220313013 is an apocalyptic number.

It is an amenable number.

301220313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

301220313013 is an equidigital number, since it uses as much as digits as its factorization.

301220313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 301220313013 its reverse (310313022103), we get a palindrome (611533335116).

The spelling of 301220313013 in words is "three hundred one billion, two hundred twenty million, three hundred thirteen thousand, thirteen".