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Moran n.  and  palindromic n.

First numbers that belong to both sets:

111, 171, 222, 333, 444, 555, 666, 777, 888, 999, 8338, 10901, 11511, 13131, 15751, 19791, 21612, 26262, 27672, 31113, 35553, 37773, 38583, 39393, 45054, 57175, 62226, 65256, 73737, 75357, 91119, 93339, 245542, 263362, 281182, 697796, 812218, 1001001, 1195911, 1203021, 1219121, 1285821, 1459541, 1473741, 1629261, 1645461, 1647461, 1661661, 1665661, 1731371, 1809081, 1923291, 2002002, 2218122, 2250522, 2362632, 2406042, 2410142, 2430342, 2550552, 2610162, 2658562, 2790972, 2946492, 3003003, 3061603, 3077703, 3167613, 3169613, 3175713, 3189813, 3191913, 3229223, 3249423, 3277723, 3323233, 3347433, 3357533, 3445443, 3527253, 3581853, 3609063, 3625263, 3805083, 3821283, 4004004, 4108014, 4124214, 4296924, 4456544, 4580854, 4720274, 4820284, 4860684, 5005005, 5089805, 5103015, 5227225, 5571755, 5687865, 5973795, 6006006, 6126216, 6314136, 6338336, 6382836, 6646466, 6674766, 6726276, 6982896, 7007007, 7045407, 7053507, 7149417, 7151517, 7217127, 7225227, 7233327, 7247427, 7307037, 7315137, 7323237, 7341437, 7421247, 7503057, 7511157, 7661667, 8008008, 8100018, 8248428, 8436348, 8736378, 8796978, 8940498, 8976798, 8988898, 9009009, 9051509, 9131319, 9143419, 9205029, 9213129, 9227229, 9311139, 9423249, 9457549, 9635369, 9947499, 9969699, 20188102, 20366302, 20455402, 20633602, 20900902, 22255222, 22433422, 22522522, 23988932, 24144142, 24233242, 24411442, 28011082, 29477492, 41066014, 41511514, 42799724, 44866844, 45111154, 46399364, 48288284, 48466484, 48822884, 60144106, 60233206, 61788716, 61966916, 62033026, 63677636, 67277276, 69166196, 80599508, 80955908, 84377348, 89888898.