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2000350013 is a prime number
BaseRepresentation
bin111011100111010…
…1110101100111101
312011102000022100112
41313032232230331
513044042200023
6530254235405
7100366460144
oct16716565475
95142008315
102000350013
11937166632
12479ab5b65
1325b56a77c
1414d94a75b
15ba931478
hex773aeb3d

2000350013 has 2 divisors, whose sum is σ = 2000350014. Its totient is φ = 2000350012.

The previous prime is 2000349979. The next prime is 2000350019. The reversal of 2000350013 is 3100530002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003495684 + 996854329 = 31678^2 + 31573^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000350013 - 216 = 2000284477 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000350013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000350019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000175006 + 1000175007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000175007).

Almost surely, 22000350013 is an apocalyptic number.

It is an amenable number.

2000350013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000350013 is an equidigital number, since it uses as much as digits as its factorization.

2000350013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2000350013 is about 44725.2726431041. The cubic root of 2000350013 is about 1259.9945437321.

Adding to 2000350013 its reverse (3100530002), we get a palindrome (5100880015).

The spelling of 2000350013 in words is "two billion, three hundred fifty thousand, thirteen".