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2003331013 is a prime number
BaseRepresentation
bin111011101101000…
…0110011111000101
312011121121202111221
41313122012133011
513100323043023
6530442200341
7100434014125
oct16732063705
95147552457
102003331013
11938912272
1247aab30b1
1325c072588
141500c4c85
15bad1e85d
hex776867c5

2003331013 has 2 divisors, whose sum is σ = 2003331014. Its totient is φ = 2003331012.

The previous prime is 2003331007. The next prime is 2003331023. The reversal of 2003331013 is 3101333002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1801747809 + 201583204 = 42447^2 + 14198^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003331013 - 29 = 2003330501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003331023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001665506 + 1001665507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001665507).

Almost surely, 22003331013 is an apocalyptic number.

It is an amenable number.

2003331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003331013 is an equidigital number, since it uses as much as digits as its factorization.

2003331013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2003331013 is about 44758.5859137663. The cubic root of 2003331013 is about 1260.6201308298.

Adding to 2003331013 its reverse (3101333002), we get a palindrome (5104664015).

The spelling of 2003331013 in words is "two billion, three million, three hundred thirty-one thousand, thirteen".