Search a number
-
+
301313320097 is a prime number
BaseRepresentation
bin1000110001001111010…
…11000110010010100001
31001210202001011121020012
410120213223012102201
514414042202220342
6350231010054305
730524552651036
oct4304753062241
91053661147205
10301313320097
11106871572109
124a49127a395
132254bc4b6aa
141082572d38d
157c87b30b82
hex4627ac64a1

301313320097 has 2 divisors, whose sum is σ = 301313320098. Its totient is φ = 301313320096.

The previous prime is 301313320093. The next prime is 301313320127. The reversal of 301313320097 is 790023313103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254483927296 + 46829392801 = 504464^2 + 216401^2 .

It is an emirp because it is prime and its reverse (790023313103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 301313320097 - 22 = 301313320093 is a prime.

It is not a weakly prime, because it can be changed into another prime (301313320093) 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, 150656660048 + 150656660049.

It is an arithmetic number, because the mean of its divisors is an integer number (150656660049).

Almost surely, 2301313320097 is an apocalyptic number.

It is an amenable number.

301313320097 is a deficient number, since it is larger than the sum of its proper divisors (1).

301313320097 is an equidigital number, since it uses as much as digits as its factorization.

301313320097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The spelling of 301313320097 in words is "three hundred one billion, three hundred thirteen million, three hundred twenty thousand, ninety-seven".