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2013023017 is a prime number
BaseRepresentation
bin111011111111100…
…0100101100101001
312012021212011110001
41313333010230221
513110313214032
6531430023001
7100612261525
oct16777045451
95167764401
102013023017
11943331a95
124821a7a61
13261086ba5
141514c8d85
15bbad63e7
hex77fc4b29

2013023017 has 2 divisors, whose sum is σ = 2013023018. Its totient is φ = 2013023016.

The previous prime is 2013023011. The next prime is 2013023041. The reversal of 2013023017 is 7103203102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1802511936 + 210511081 = 42456^2 + 14509^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013023017 - 27 = 2013022889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013022985 and 2013023003.

It is not a weakly prime, because it can be changed into another prime (2013023011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006511508 + 1006511509.

It is an arithmetic number, because the mean of its divisors is an integer number (1006511509).

Almost surely, 22013023017 is an apocalyptic number.

It is an amenable number.

2013023017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013023017 is an equidigital number, since it uses as much as digits as its factorization.

2013023017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 2013023017 is about 44866.7250532062. The cubic root of 2013023017 is about 1262.6497978906.

Adding to 2013023017 its reverse (7103203102), we get a palindrome (9116226119).

The spelling of 2013023017 in words is "two billion, thirteen million, twenty-three thousand, seventeen".