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2003312041 = 6151896329
BaseRepresentation
bin111011101101000…
…0001110110101001
312011121120210111021
41313122001312221
513100321441131
6530441532441
7100433604613
oct16732016651
95147523437
102003312041
119388a9a95
1247aaa4121
1325c066a53
141500bbdb3
15bad18e11
hex77681da9

2003312041 has 8 divisors (see below), whose sum is σ = 2036867400. Its totient is φ = 1969779840.

The previous prime is 2003312027. The next prime is 2003312071. The reversal of 2003312041 is 1402133002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 280730025 + 1722582016 = 16755^2 + 41504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2003312041 - 25 = 2003312009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003312021) 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 in 7 ways as a sum of consecutive naturals, for example, 313365 + ... + 319693.

It is an arithmetic number, because the mean of its divisors is an integer number (254608425).

Almost surely, 22003312041 is an apocalyptic number.

It is an amenable number.

2003312041 is a deficient number, since it is larger than the sum of its proper divisors (33555359).

2003312041 is an equidigital number, since it uses as much as digits as its factorization.

2003312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2003312041 is about 44758.3739762740. The cubic root of 2003312041 is about 1260.6161513642.

Adding to 2003312041 its reverse (1402133002), we get a palindrome (3405445043).

The spelling of 2003312041 in words is "two billion, three million, three hundred twelve thousand, forty-one".

Divisors: 1 61 5189 6329 316529 386069 32841181 2003312041