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314130041 is a prime number
BaseRepresentation
bin10010101110010…
…011111001111001
3210220002110101222
4102232103321321
51120404130131
651100521425
710533030011
oct2256237171
9726073358
10314130041
11151355605
1289250275
1350107484
142da10c41
151c8a087b
hex12b93e79

314130041 has 2 divisors, whose sum is σ = 314130042. Its totient is φ = 314130040.

The previous prime is 314129989. The next prime is 314130073. The reversal of 314130041 is 140031413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289170025 + 24960016 = 17005^2 + 4996^2 .

It is a cyclic number.

It is not a de Polignac number, because 314130041 - 210 = 314129017 is a prime.

It is not a weakly prime, because it can be changed into another prime (314136041) 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, 157065020 + 157065021.

It is an arithmetic number, because the mean of its divisors is an integer number (157065021).

Almost surely, 2314130041 is an apocalyptic number.

It is an amenable number.

314130041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314130041 is an equidigital number, since it uses as much as digits as its factorization.

314130041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 314130041 is about 17723.7140859358. The cubic root of 314130041 is about 679.7822551097.

Adding to 314130041 its reverse (140031413), we get a palindrome (454161454).

The spelling of 314130041 in words is "three hundred fourteen million, one hundred thirty thousand, forty-one".