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3009000041 is a prime number
BaseRepresentation
bin1011001101011001…
…1011001001101001
321202200222001001222
42303112123021221
522130301000131
61214325151425
7134365035605
oct26326331151
97680861058
103009000041
1113045582a3
126bb85b575
1338c515bc8
142078aa505
1512927087b
hexb359b269

3009000041 has 2 divisors, whose sum is σ = 3009000042. Its totient is φ = 3009000040.

The previous prime is 3009000023. The next prime is 3009000053. The reversal of 3009000041 is 1400009003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1711559641 + 1297440400 = 41371^2 + 36020^2 .

It is an emirp because it is prime and its reverse (1400009003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3009000041 - 26 = 3008999977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3008999983 and 3009000019.

It is not a weakly prime, because it can be changed into another prime (3009000011) 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, 1504500020 + 1504500021.

It is an arithmetic number, because the mean of its divisors is an integer number (1504500021).

Almost surely, 23009000041 is an apocalyptic number.

It is an amenable number.

3009000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3009000041 is an equidigital number, since it uses as much as digits as its factorization.

3009000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3009000041 is about 54854.3529813268. The cubic root of 3009000041 is about 1443.6903865842.

Adding to 3009000041 its reverse (1400009003), we get a palindrome (4409009044).

The spelling of 3009000041 in words is "three billion, nine million, forty-one", and thus it is an aban number and an uban number.