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301311012017 is a prime number
BaseRepresentation
bin1000110001001111000…
…10010010110010110001
31001210201212211100010202
410120213202102302301
514414041104341032
6350230444404545
730524524225661
oct4304742226261
91053655740122
10301311012017
11106870236004
124a490546755
132254b620c72
14108252cc1a1
157c87826d62
hex4627892cb1

301311012017 has 2 divisors, whose sum is σ = 301311012018. Its totient is φ = 301311012016.

The previous prime is 301311011971. The next prime is 301311012083. The reversal of 301311012017 is 710210113103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262061062561 + 39249949456 = 511919^2 + 198116^2 .

It is a cyclic number.

It is not a de Polignac number, because 301311012017 - 210 = 301311010993 is a prime.

It is a super-4 number, since 4×3013110120174 (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301311012017.

It is not a weakly prime, because it can be changed into another prime (301311012917) 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, 150655506008 + 150655506009.

It is an arithmetic number, because the mean of its divisors is an integer number (150655506009).

Almost surely, 2301311012017 is an apocalyptic number.

It is an amenable number.

301311012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

301311012017 is an equidigital number, since it uses as much as digits as its factorization.

301311012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The spelling of 301311012017 in words is "three hundred one billion, three hundred eleven million, twelve thousand, seventeen".