Palindromic gapful numbers

You are encouraged to solve this task according to the task description, using any language you may know.
Numbers   (positive integers expressed in base ten)   that are (evenly) divisible by the number formed by the
first and last digit are known as   gapful numbers.


Evenly divisible   means divisible with   no   remainder.



All   one─   and two─digit   numbers have this property and are trivially excluded.   Only
numbers    ≥  100   will be considered for this Rosetta Code task.



Example

1037   is a   gapful   number because it is evenly divisible by the
number   17   which is formed by the first and last decimal digits
of    1037. 



A palindromic number is   (for this task, a positive integer expressed in base ten),   when the number is
reversed,   is the same as the original number.



Task

   Show   (nine sets)   the first   20   palindromic gapful numbers that   end   with:
   the digit   1
   the digit   2
   the digit   3
   the digit   4
   the digit   5
   the digit   6
   the digit   7
   the digit   8
   the digit   9
   Show   (nine sets, like above)   of palindromic gapful numbers:
   the last   15   palindromic gapful numbers   (out of      100)
   the last   10   palindromic gapful numbers   (out of   1,000)       {optional}


For other ways of expressing the (above) requirements, see the   discussion   page.



Note

All palindromic gapful numbers are divisible by eleven.



Related tasks

   palindrome detection.
   gapful numbers.


Also see

   The OEIS entry:   A108343 gapful numbers.


   task1 =: {. (((= 10&#:) # ]) palindromic_multiples_of_eleven)
   palindromic_multiples_of_eleven =: [: (#~ (99&< *. palindrome&>)) (11*i.100001)&*
   palindrome =: (-: |.)@:":

   20 task1&> >:i.9
 121 1001  1111   1221   1331   1441   1551   1661   1771   1881   1991  10901  11011  12221  13431  14641   15851   17171   18381   19591
 242 2002  2112   2222   2332   2442   2552   2662   2772   2882   2992  20702  21912  22022  23232  24442   25652   26862   28182   29392
 363 3003  3333   3663   3993  31713  33033  36663 300003 303303 306603 309903 312213 315513 318813 321123  324423  327723  330033  333333
 484 4004  4224   4444   4664   4884  40304  42724  44044  46464  48884 400004 401104 402204 403304 404404  405504  406604  407704  408804
5005 5115  5225   5335   5445   5555   5665   5775   5885   5995  50105  51315  52525  53735  54945  55055   56265   57475   58685   59895
6006 6336  6666   6996  61116  64746  66066  69696 600006 603306 606606 609906 612216 615516 618816 621126  624426  627726  630036  633336
7007 7777 77077 700007 707707 710017 717717 720027 727727 730037 737737 740047 747747 750057 757757 760067  767767  770077  777777  780087
8008 8448  8888  80608  86768  88088 800008 802208 804408 806608 808808 821128 823328 825528 827728 829928  840048  842248  844448  846648
9009 9999 94149  99099 900009 909909 918819 927729 936639 945549 954459 963369 972279 981189 990099 999999 9459549 9508059 9557559 9606069
