Search a number
-
+
3011223041 is a prime number
BaseRepresentation
bin1011001101111011…
…1001111000000001
321202212010222110022
42303132321320001
522131333114131
61214444543225
7134422654631
oct26336717001
97685128408
103011223041
111305836492
12700551b15
1338cb139a8
14207cc86c1
1512955e37b
hexb37b9e01

3011223041 has 2 divisors, whose sum is σ = 3011223042. Its totient is φ = 3011223040.

The previous prime is 3011223011. The next prime is 3011223079. The reversal of 3011223041 is 1403221103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1815100816 + 1196122225 = 42604^2 + 34585^2 .

It is a cyclic number.

It is not a de Polignac number, because 3011223041 - 214 = 3011206657 is a prime.

It is not a weakly prime, because it can be changed into another prime (3011223011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1505611520 + 1505611521.

It is an arithmetic number, because the mean of its divisors is an integer number (1505611521).

Almost surely, 23011223041 is an apocalyptic number.

It is an amenable number.

3011223041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011223041 is an equidigital number, since it uses as much as digits as its factorization.

3011223041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3011223041 is about 54874.6119895166. The cubic root of 3011223041 is about 1444.0458240139.

Adding to 3011223041 its reverse (1403221103), we get a palindrome (4414444144).

The spelling of 3011223041 in words is "three billion, eleven million, two hundred twenty-three thousand, forty-one".