In [9]:

    

def is_palindromes?(n)
  n.to_s == n.to_s.reverse
end


    

In [10]:

    

is_palindromes?(101)


    

    
Out[10]:





true

In [11]:

    

def is_palindromes_by_double?(n)
  n.to_s(2) == n.to_s(2).reverse
end


    

In [12]:

    

is_palindromes_by_double?(585)


    

    
Out[12]:





true

In [13]:

    

results = []
(1..1_000_000).each do |n|
  results << n if is_palindromes?(n) and is_palindromes_by_double?(n)
end
results


    

    
Out[13]:





[1, 3, 5, 7, 9, 33, 99, 313, 585, 717, 7447, 9009, 15351, 32223, 39993, 53235, 53835, 73737, 585585]

In [14]:

    

results.inject *:+


    

    
Out[14]:





872187

In [ ]: