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2003330041 is a prime number
BaseRepresentation
bin111011101101000…
…0110001111111001
312011121121201011221
41313122012033321
513100323030131
6530442152041
7100434011236
oct16732061771
95147551157
102003330041
11938911569
1247aab2621
1325c071cbb
141500c478d
15bad1e411
hex776863f9

2003330041 has 2 divisors, whose sum is σ = 2003330042. Its totient is φ = 2003330040.

The previous prime is 2003330023. The next prime is 2003330047. The reversal of 2003330041 is 1400333002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1379379600 + 623950441 = 37140^2 + 24979^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003330041 - 25 = 2003330009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003329997 and 2003330024.

It is not a weakly prime, because it can be changed into another prime (2003330047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001665020 + 1001665021.

It is an arithmetic number, because the mean of its divisors is an integer number (1001665021).

Almost surely, 22003330041 is an apocalyptic number.

It is an amenable number.

2003330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003330041 is an equidigital number, since it uses as much as digits as its factorization.

2003330041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2003330041 is about 44758.5750555131. The cubic root of 2003330041 is about 1260.6199269489.

Adding to 2003330041 its reverse (1400333002), we get a palindrome (3403663043).

The spelling of 2003330041 in words is "two billion, three million, three hundred thirty thousand, forty-one".