Search a number
-
+
3112242593 is a prime number
BaseRepresentation
bin1011100110000001…
…0000110110100001
322000220020022020012
42321200100312201
522333213230333
61232454054305
7140060424365
oct27140206641
98026208205
103112242593
111357863a19
1272a34a395
133a7a23585
142174a32a5
15133365e48
hexb9810da1

3112242593 has 2 divisors, whose sum is σ = 3112242594. Its totient is φ = 3112242592.

The previous prime is 3112242533. The next prime is 3112242599. The reversal of 3112242593 is 3952422113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066884369 + 1045358224 = 45463^2 + 32332^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112242593 - 212 = 3112238497 is a prime.

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 (3112242599) 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, 1556121296 + 1556121297.

It is an arithmetic number, because the mean of its divisors is an integer number (1556121297).

Almost surely, 23112242593 is an apocalyptic number.

It is an amenable number.

3112242593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112242593 is an equidigital number, since it uses as much as digits as its factorization.

3112242593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 3112242593 is about 55787.4770266589. The cubic root of 3112242593 is about 1460.0166685093.

The spelling of 3112242593 in words is "three billion, one hundred twelve million, two hundred forty-two thousand, five hundred ninety-three".