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2003120813 is a prime number
BaseRepresentation
bin111011101100101…
…0011001010101101
312011121020002011202
41313121103022231
513100244331223
6530433455245
7100432150241
oct16731231255
95147202152
102003120813
11938789351
1247aa11525
1325bcca9b5
1415006c421
15baccc428
hex776532ad

2003120813 has 2 divisors, whose sum is σ = 2003120814. Its totient is φ = 2003120812.

The previous prime is 2003120747. The next prime is 2003120843. The reversal of 2003120813 is 3180213002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982208484 + 20912329 = 44522^2 + 4573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003120813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003120843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001560406 + 1001560407.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560407).

Almost surely, 22003120813 is an apocalyptic number.

It is an amenable number.

2003120813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003120813 is an equidigital number, since it uses as much as digits as its factorization.

2003120813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2003120813 is about 44756.2376993420. The cubic root of 2003120813 is about 1260.5760389951.

Adding to 2003120813 its reverse (3180213002), we get a palindrome (5183333815).

The spelling of 2003120813 in words is "two billion, three million, one hundred twenty thousand, eight hundred thirteen".