Search a number
-
+
4131109 is a prime number
BaseRepresentation
bin1111110000100100100101
321202212211001
433300210211
52024143414
6224313301
750054023
oct17604445
97685731
104131109
112371844
121472831
13b18458
14797713
15569074
hex3f0925

4131109 has 2 divisors, whose sum is σ = 4131110. Its totient is φ = 4131108.

The previous prime is 4131107. The next prime is 4131223. The reversal of 4131109 is 9011314.

It is a happy number.

4131109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3744225 + 386884 = 1935^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131109 - 21 = 4131107 is a prime.

Together with 4131107, 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 (4131107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065554 + 2065555.

It is an arithmetic number, because the mean of its divisors is an integer number (2065555).

Almost surely, 24131109 is an apocalyptic number.

It is an amenable number.

4131109 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131109 is an equidigital number, since it uses as much as digits as its factorization.

4131109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 4131109 is about 2032.5129765883. The cubic root of 4131109 is about 160.4558484677.

The spelling of 4131109 in words is "four million, one hundred thirty-one thousand, one hundred nine".