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2000302013 is a prime number
BaseRepresentation
bin111011100111010…
…0010111110111101
312011101220212111202
41313032202332331
513044034131023
6530253225245
7100366200203
oct16716427675
95141825452
102000302013
11937133566
12479a92225
1325b551978
1414d937073
15ba922128
hex773a2fbd

2000302013 has 2 divisors, whose sum is σ = 2000302014. Its totient is φ = 2000302012.

The previous prime is 2000302009. The next prime is 2000302043. The reversal of 2000302013 is 3102030002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1934416324 + 65885689 = 43982^2 + 8117^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000302013 - 22 = 2000302009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000301985 and 2000302003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000302043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000151006 + 1000151007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000151007).

Almost surely, 22000302013 is an apocalyptic number.

It is an amenable number.

2000302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000302013 is an equidigital number, since it uses as much as digits as its factorization.

2000302013 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 2000302013 is about 44724.7360305234. The cubic root of 2000302013 is about 1259.9844654589.

Adding to 2000302013 its reverse (3102030002), we get a palindrome (5102332015).

The spelling of 2000302013 in words is "two billion, three hundred two thousand, thirteen".