Search a number
gapful n.  and  palindromic n.

First numbers that belong to both sets:

121, 242, 363, 484, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3333, 3663, 3993, 4004, 4224, 4444, 4664, 4884, 5005, 5115, 5225, 5335, 5445, 5555, 5665, 5775, 5885, 5995, 6006, 6336, 6666, 6996, 7007, 7777, 8008, 8448, 8888, 9009, 9999, 10901, 11011, 12221, 13431, 14641, 15851, 17171, 18381, 19591, 20702, 21912, 22022, 23232, 24442, 25652, 26862, 28182, 29392, 31713, 33033, 36663, 40304, 42724, 44044, 46464, 48884, 50105, 51315, 52525, 53735, 54945, 55055, 56265, 57475, 58685, 59895, 61116, 64746, 66066, 69696, 77077, 80608, 86768, 88088, 94149, 99099, 100001, 101101, 102201, 103301, 104401, 105501, 106601, 107701, 108801, 109901, 110011, 111111, 112211, 113311, 114411, 115511, 116611, 117711, 118811, 119911, 120021, 121121, 122221, 123321, 124421, 125521, 126621, 127721, 128821, 129921, 130031, 131131, 132231, 133331, 134431, 135531, 136631, 137731, 138831, 139931, 140041, 141141, 142241, 143341, 144441, 145541, 146641, 147741, 148841, 149941, 150051, 151151, 152251, 153351, 154451, 155551, 156651, 157751, 158851, 159951, 160061, 161161, 162261, 163361, 164461, 165561, 166661, 167761, 168861, 169961, 170071, 171171, 172271, 173371, 174471, 175571, 176671, 177771, 178871, 179971, 180081, 181181, 182281, 183381, 184481, 185581, 186681, 187781, 188881, 189981, 190091, 191191, 192291, 193391, 194491, 195591, 196691, 197791, 198891, 199991, 200002, 201102, 202202, 203302, 204402, 205502, 206602, 207702, 208802, 209902, 210012, 211112, 212212, 213312, 214412, 215512, 216612, 217712, 218812, 219912, 220022, 221122, 222222, 223322, 224422, 225522, 226622, 227722, 228822, 229922, 230032, 231132, 232232, 233332, 234432, 235532, 236632, 237732, 238832, 239932, 240042, 241142, 242242, 243342, 244442, 245542, 246642, 247742, 248842, 249942, 250052, 251152, 252252, 253352, 254452, 255552, 256652, 257752, 258852, 259952, 260062, 261162, 262262, 263362, 264462, 265562, 266662, 267762, 268862, 269962, 270072, 271172, 272272, 273372, 274472, 275572, 276672, 277772, 278872, 279972.

Some larger examples :