Search a number
-
+
11823281 is a prime number
BaseRepresentation
bin101101000110…
…100010110001
3211020200111022
4231012202301
511011321111
61101225225
7202332131
oct55064261
924220438
1011823281
116746008
123b62215
1325ac732
1417daac1
1510882db
hexb468b1

11823281 has 2 divisors, whose sum is σ = 11823282. Its totient is φ = 11823280.

The previous prime is 11823277. The next prime is 11823283. The reversal of 11823281 is 18232811.

11823281 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., 7480225 + 4343056 = 2735^2 + 2084^2 .

It is a cyclic number.

It is not a de Polignac number, because 11823281 - 22 = 11823277 is a prime.

It is a super-2 number, since 2×118232812 = 279579947209922, which contains 22 as substring.

Together with 11823283, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11823281.

It is not a weakly prime, because it can be changed into another prime (11823283) 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, 5911640 + 5911641.

It is an arithmetic number, because the mean of its divisors is an integer number (5911641).

Almost surely, 211823281 is an apocalyptic number.

It is an amenable number.

11823281 is a deficient number, since it is larger than the sum of its proper divisors (1).

11823281 is an equidigital number, since it uses as much as digits as its factorization.

11823281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 26.

The square root of 11823281 is about 3438.4998182347. The cubic root of 11823281 is about 227.8134374646.

The spelling of 11823281 in words is "eleven million, eight hundred twenty-three thousand, two hundred eighty-one".