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2002313 is a prime number
BaseRepresentation
bin111101000110110001001
310202201122202
413220312021
51003033223
6110525545
723006435
oct7506611
93681582
102002313
111148405
128068b5
13551501
143a19c5
15298428
hex1e8d89

2002313 has 2 divisors, whose sum is σ = 2002314. Its totient is φ = 2002312.

The previous prime is 2002307. The next prime is 2002327. The reversal of 2002313 is 3132002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1026169 + 976144 = 1013^2 + 988^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002313 - 26 = 2002249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002294 and 2002303.

It is not a weakly prime, because it can be changed into another prime (2002303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001156 + 1001157.

It is an arithmetic number, because the mean of its divisors is an integer number (1001157).

22002313 is an apocalyptic number.

It is an amenable number.

2002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002313 is an equidigital number, since it uses as much as digits as its factorization.

2002313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2002313 is about 1415.0310950647. The cubic root of 2002313 is about 126.0406562343.

Adding to 2002313 its reverse (3132002), we get a palindrome (5134315).

It can be divided in two parts, 2002 and 313, that multiplied together give a palindrome (626626).

The spelling of 2002313 in words is "two million, two thousand, three hundred thirteen".