10823002241 has 2 divisors, whose sum is σ = 10823002242. Its totient is φ = 10823002240.

The previous prime is 10823002237. The next prime is 10823002259. The reversal of 10823002241 is 14220032801.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5894400625 + 4928601616 = 76775^2 + 70204^2 .

It is a cyclic number.

It is not a de Polignac number, because 10823002241 - 2² = 10823002237 is a prime.

It is a super-3 number, since 3×10823002241³ (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10823005241) 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, 5411501120 + 5411501121.

It is an arithmetic number, because the mean of its divisors is an integer number (5411501121).

Almost surely, 2^10823002241 is an apocalyptic number.

It is an amenable number.

10823002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10823002241 is an equidigital number, since it uses as much as digits as its factorization.

10823002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 10823002241 in words is "ten billion, eight hundred twenty-three million, two thousand, two hundred forty-one".