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301313320127 is a prime number
BaseRepresentation
bin1000110001001111010…
…11000110010010111111
31001210202001011121021022
410120213223012102333
514414042202221002
6350231010054355
730524552651111
oct4304753062277
91053661147238
10301313320127
11106871572136
124a49127a3bb
132254bc4b701
141082572d3b1
157c87b30ba2
hex4627ac64bf

301313320127 has 2 divisors, whose sum is σ = 301313320128. Its totient is φ = 301313320126.

The previous prime is 301313320097. The next prime is 301313320153. The reversal of 301313320127 is 721023313103.

It is an a-pointer prime, because the next prime (301313320153) can be obtained adding 301313320127 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301313320127 is a prime.

It is a super-2 number, since 2×3013133201272 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301313320096 and 301313320105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301313320177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150656660063 + 150656660064.

It is an arithmetic number, because the mean of its divisors is an integer number (150656660064).

Almost surely, 2301313320127 is an apocalyptic number.

301313320127 is a deficient number, since it is larger than the sum of its proper divisors (1).

301313320127 is an equidigital number, since it uses as much as digits as its factorization.

301313320127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 301313320127 in words is "three hundred one billion, three hundred thirteen million, three hundred twenty thousand, one hundred twenty-seven".