Search a number
-
+
11257241 is a prime number
BaseRepresentation
bin101010111100…
…010110011001
3210011221000212
4222330112121
510340212431
61041140505
7164453642
oct52742631
923157025
1011257241
116399806
12392a735
132441bb8
1416d06c9
15ec572b
hexabc599

11257241 has 2 divisors, whose sum is σ = 11257242. Its totient is φ = 11257240.

The previous prime is 11257229. The next prime is 11257243. The reversal of 11257241 is 14275211.

11257241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7722841 + 3534400 = 2779^2 + 1880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11257241 is a prime.

It is a Sophie Germain prime.

Together with 11257243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11257243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5628620 + 5628621.

It is an arithmetic number, because the mean of its divisors is an integer number (5628621).

Almost surely, 211257241 is an apocalyptic number.

It is an amenable number.

11257241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11257241 is an equidigital number, since it uses as much as digits as its factorization.

11257241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 560, while the sum is 23.

The square root of 11257241 is about 3355.1812171625. The cubic root of 11257241 is about 224.1183008719.

The spelling of 11257241 in words is "eleven million, two hundred fifty-seven thousand, two hundred forty-one".