Search a number
-
+
314242109 is a prime number
BaseRepresentation
bin10010101110101…
…111010000111101
3210220022011010122
4102232233100331
51120421221414
651103144325
710534004516
oct2256572075
9726264118
10314242109
11151421825
12892a50a5
135014649c
142da3da0d
151c8c3b8e
hex12baf43d

314242109 has 2 divisors, whose sum is σ = 314242110. Its totient is φ = 314242108.

The previous prime is 314242099. The next prime is 314242111. The reversal of 314242109 is 901242413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199430884 + 114811225 = 14122^2 + 10715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314242109 is a prime.

Together with 314242111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314242129) 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, 157121054 + 157121055.

It is an arithmetic number, because the mean of its divisors is an integer number (157121055).

Almost surely, 2314242109 is an apocalyptic number.

It is an amenable number.

314242109 is a deficient number, since it is larger than the sum of its proper divisors (1).

314242109 is an equidigital number, since it uses as much as digits as its factorization.

314242109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 314242109 is about 17726.8753309770. The cubic root of 314242109 is about 679.8630844586.

It can be divided in two parts, 31424 and 2109, that added together give a palindrome (33533).

The spelling of 314242109 in words is "three hundred fourteen million, two hundred forty-two thousand, one hundred nine".