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301313112913 is a prime number
BaseRepresentation
bin1000110001001111010…
…10010011101101010001
31001210202000210002000201
410120213222103231101
514414042124103123
6350231001415201
730524551126021
oct4304752235521
91053660702021
10301313112913
1110687144048a
124a49119a501
132254bba82b7
14108256b7a81
157c87ade5ad
hex4627a93b51

301313112913 has 2 divisors, whose sum is σ = 301313112914. Its totient is φ = 301313112912.

The previous prime is 301313112901. The next prime is 301313112941. The reversal of 301313112913 is 319211313103.

It is an a-pointer prime, because the next prime (301313112941) can be obtained adding 301313112913 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287737833744 + 13575279169 = 536412^2 + 116513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301313112913 is a prime.

It is not a weakly prime, because it can be changed into another prime (301313110913) 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, 150656556456 + 150656556457.

It is an arithmetic number, because the mean of its divisors is an integer number (150656556457).

Almost surely, 2301313112913 is an apocalyptic number.

It is an amenable number.

301313112913 is a deficient number, since it is larger than the sum of its proper divisors (1).

301313112913 is an equidigital number, since it uses as much as digits as its factorization.

301313112913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 301313112913 in words is "three hundred one billion, three hundred thirteen million, one hundred twelve thousand, nine hundred thirteen".