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2003332081 is a prime number
BaseRepresentation
bin111011101101000…
…0110101111110001
312011121121210222111
41313122012233301
513100323111311
6530442205321
7100434020212
oct16732065761
95147553874
102003332081
11938913053
1247aab3841
1325c072bca
141500c5409
15bad1ed21
hex77686bf1

2003332081 has 2 divisors, whose sum is σ = 2003332082. Its totient is φ = 2003332080.

The previous prime is 2003332063. The next prime is 2003332091. The reversal of 2003332081 is 1802333002.

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., 1868400625 + 134931456 = 43225^2 + 11616^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003332081 - 215 = 2003299313 is a prime.

It is a super-2 number, since 2×20033320812 = 8026678853527581122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2003332091) 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, 1001666040 + 1001666041.

It is an arithmetic number, because the mean of its divisors is an integer number (1001666041).

Almost surely, 22003332081 is an apocalyptic number.

It is an amenable number.

2003332081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003332081 is an equidigital number, since it uses as much as digits as its factorization.

2003332081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2003332081 is about 44758.5978444365. The cubic root of 2003332081 is about 1260.6203548471.

Adding to 2003332081 its reverse (1802333002), we get a palindrome (3805665083).

It can be divided in two parts, 2003 and 332081, that added together give a square (334084 = 5782).

The spelling of 2003332081 in words is "two billion, three million, three hundred thirty-two thousand, eighty-one".