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odious n.  and  upside-down n.

First numbers that belong to both sets:

19, 28, 37, 55, 64, 73, 82, 91, 357, 555, 654, 852, 1199, 1739, 2198, 2288, 2378, 2468, 2558, 2648, 2828, 2918, 3467, 3647, 3737, 3827, 4286, 4646, 4736, 4826, 5465, 6194, 6284, 6374, 6554, 6734, 6914, 7823, 7913, 8192, 8282, 8372, 8462, 8552, 8642, 8732, 8822, 8912, 9191, 9371, 9641, 9731, 9911, 11599, 12589, 13579, 15559, 16549, 17539, 18529, 19519, 22588, 23578, 24568, 25558, 26548, 28528, 29518, 31597, 32587, 34567, 38527, 39517, 43576, 45556, 46546, 49516, 52585, 55555, 56545, 58525, 62584, 63574, 64564, 65554, 66544, 67534, 71593, 72583, 74563, 75553, 77533, 79513, 82582, 84562, 85552, 86542, 88522, 89512, 92581, 93571, 97531, 98521, 99511, 111999, 116499, 119199, 121989, 124689, 127389, 128289, 131979, 133779, 136479, 137379, 139179, 141969, 144669, 145569, 147369, 151959, 152859, 156459, 157359, 158259, 164649, 165549, 166449, 171939, 172839, 175539, 177339, 178239, 179139, 181929, 182829, 184629, 188229, 189129, 191919, 194619, 195519, 212898, 214698, 215598, 217398, 222888, 223788, 225588, 229188, 232878, 235578, 236478, 238278, 239178, 243768, 244668, 249168, 252858, 254658, 256458, 259158, 263748, 265548, 266448, 268248, 269148, 275538, 276438, 281928, 282828, 285528, 286428, 288228, 291918, 292818, 293718, 298218, 312897, 313797, 314697, 315597, 318297, 319197, 322887, 324687, 325587, 326487, 328287, 329187, 331977, 335577, 336477, 337377, 338277, 341967, 342867, 343767, 344667, 346467, 347367, 348267, 349167, 352857, 354657, 355557, 356457, 357357, 359157, 361947, 362847, 364647, 366447, 368247, 372837, 374637, 376437, 377337, 379137, 381927, 382827, 384627, 385527, 386427, 389127, 392817, 393717, 394617, 397317, 399117, 411996, 413796, 415596, 417396, 419196, 424686, 428286, 429186, 432876, 436476, 437376, 439176, 441966, 443766, 444666, 449166, 451956, 452856, 457356, 459156, 464646, 465546, 468246, 469146, 472836, 473736, 475536, 478236, 484626, 492816, 498216, 512895, 513795, 517395, 521985, 525585, 532875, 534675, 536475, 538275, 539175, 541965, 543765, 545565, 555555, 557355, 558255, 559155, 563745, 565545.

Some larger examples :