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3006341137 is a prime number
BaseRepresentation
bin1011001100110001…
…0010000000010001
321202111221221202001
42303030102000101
522124110404022
61214152154001
7134333322652
oct26314220021
97674857661
103006341137
111303001658
126ba998901
1338bac48a7
142073b7529
15128de7b27
hexb3312011

3006341137 has 2 divisors, whose sum is σ = 3006341138. Its totient is φ = 3006341136.

The previous prime is 3006341111. The next prime is 3006341153. The reversal of 3006341137 is 7311436003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2750373136 + 255968001 = 52444^2 + 15999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3006341137 is a prime.

It is not a weakly prime, because it can be changed into another prime (3006341167) 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, 1503170568 + 1503170569.

It is an arithmetic number, because the mean of its divisors is an integer number (1503170569).

Almost surely, 23006341137 is an apocalyptic number.

It is an amenable number.

3006341137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006341137 is an equidigital number, since it uses as much as digits as its factorization.

3006341137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3006341137 is about 54830.1115902567. Note that the first 3 decimals coincide. The cubic root of 3006341137 is about 1443.2650220870.

The spelling of 3006341137 in words is "three billion, six million, three hundred forty-one thousand, one hundred thirty-seven".