Palindromic numbers with a binary twist Warning : this is NOT a "hey, let's draw a cake in ASCII-art" challenge! Please keep reading ;)

Some time ago it was my birthday, I'm 33 now. 

So there is this awkward social tradition consisting in inviting family and friends, putting number-like candles on a cake, sing songs and open gifts.

   33   
--------


Instead of numbers, I can use the binary system to put standard candles: I place 6 of them on the cake and light two of them.

 100001
--------


I can see that both decimal and binary numbers of my age are palindromic!

Challenge

I want to know if any other number can be put on a cake with candles and be palindromic, decimal and binary.

Write a program/function to test if a number is palindromic in both decimal and binary. But wait, there's more : in binary, leading zeros count for the test! 

Input

A decimal number x that I want to test if it is birthday palindromic with 0 &lt; x &lt; 232-1 (yes, the people in my dimension live very long)

Output

Truthy if it meets exactly these two conditions, Falsey else:


The decimal representation of the number is a standard palindrome
The binary representation of the number is a standard palindrome, and adding leading zeros may help with this


Test cases

1 &gt; 1 =&gt; Truthy
6 &gt; 110 (0110) =&gt; Truthy
9 &gt; 1001 =&gt; Truthy
10 &gt; 1010 (01010) =&gt; Falsey, 10 is not palindromic
12 =&gt; 1100 (001100) =&gt; Falsey, 12 is not palindromic
13 =&gt; 1101 (...01101) =&gt; Falsey, neither 13 nor 1101 are palindromic
14 =&gt; 1110 (01110) =&gt; Falsey, 14 is not palindromic
33 &gt; 100001 =&gt; Truthy
44 &gt; 101100 (..0101100) =&gt; Falsey, 101100 is not palindromic
1342177280 &gt; 1010000000000000000000000000000 (00000000000000000000000000001010000000000000000000000000000) =&gt; Falsey, 1342177280 is not palindromic (but the binary representation is)
297515792 &gt; 10001101110111011101100010000 (000010001101110111011101100010000) =&gt; Truthy


Rules


Standard loopholes are disallowed
Built-in library conversions and tests are allowed
This is code-golf, the shortest code win!


Good luck, and eventually happy birthday!
05AB1E, 7 bytes

b0Ü‚DíQ


Try it online!
or as a Test Suite

Explanation

b         # convert input to binary
 0Ü       # remove trailing zeroes
   ‚      # pair with input
    D     # duplicate
     í    # reverse each (in the copy)
      Q   # check for equality