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2000322013 is a prime number
BaseRepresentation
bin111011100111010…
…0111110111011101
312011101221212221111
41313032213313131
513044040301023
6530253502021
7100366312414
oct16716476735
95141855844
102000322013
11937147598
12479aa1911
1325b55aac1
1414d94047b
15ba92800d
hex773a7ddd

2000322013 has 2 divisors, whose sum is σ = 2000322014. Its totient is φ = 2000322012.

The previous prime is 2000321993. The next prime is 2000322041. The reversal of 2000322013 is 3102230002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1435879449 + 564442564 = 37893^2 + 23758^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000322013 - 221 = 1998224861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000321984 and 2000322002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000322053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000161006 + 1000161007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000161007).

Almost surely, 22000322013 is an apocalyptic number.

It is an amenable number.

2000322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000322013 is an equidigital number, since it uses as much as digits as its factorization.

2000322013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2000322013 is about 44724.9596198812. The cubic root of 2000322013 is about 1259.9886647590.

Adding to 2000322013 its reverse (3102230002), we get a palindrome (5102552015).

The spelling of 2000322013 in words is "two billion, three hundred twenty-two thousand, thirteen".