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alternating n.  and  pandigital

First numbers that belong to both sets:

2, 21, 78, 141, 147, 210, 216, 694, 698, 894, 898, 1014, 1054, 1070, 1210, 1294, 1298, 1454, 1470, 1478, 1490, 1634, 1654, 1670, 1830, 8345, 8385, 8525, 8585, 8745, 8765, 10505, 10545, 12125, 12545, 16765, 16785, 16985, 21090, 21450, 21870, 23010, 23650, 23830, 25090, 25230, 25670, 25850, 27010, 29010, 29630, 29670, 29870, 29890, 30385, 30745, 32305, 32505, 32525, 32945, 34385, 34525, 34785, 36145, 38125, 38305, 41850, 43010, 43210, 43670, 210303, 210363, 210567, 210963, 212127, 212163, 212361, 216303, 216309, 216927, 230709, 238965, 250323, 250941, 250965, 250989, 254145, 254343, 254349, 254385, 298101, 298305, 298365, 298389, 432321, 432543, 432567, 432909, 432921, 434301, 434343, 434943, 434961, 436305, 436347, 452103, 452127, 452769, 454347, 454365, 454563, 454707, 454749, 456321, 456327, 456909, 458103, 458967, 474165, 474903, 476523, 478581, 478743, 492525, 494109, 494301, 494529, 494745, 496341, 496365, 496701, 496767, 496923, 610929, 612129, 612387, 612567, 612987, 614343, 614523, 614781, 614967, 630525, 630729, 632103, 632121, 632505, 632547, 632583, 632787, 636345, 636783, 650343, 654507, 654543, 654549, 656127, 656349, 658185, 658587, 658749, 658923, 658947, 670323, 670341, 670383, 670587, 670923, 690183, 690321, 690327, 690525, 690567, 692325, 692349, 692547, 692727, 692961, 694107, 694383, 694929, 694947, 696369, 696501, 696987, 698763, 2185470, 2185694, 2187038, 2189292, 2307452, 2309076, 2309090, 2323692, 2325218, 2325274, 2341038, 2341234, 2341290, 2341654, 2345630, 2349214, 2349270, 2349298, 2723630, 2765294, 2767814, 2767856, 2781016, 2789094, 2789276, 2903418, 2903894, 2907450, 2907618, 2907814, 2909676, 2969414, 2969456, 2981216, 3016125, 3016181, 3038343, 3058727, 3072167, 3074183, 3090983, 3096765, 3214323, 3214589, 3232187, 3252725, 3272325, 3418527, 3434963, 3436307, 3476767, 3476963, 3492923, 3612903, 3612987, 3654707, 3656723, 3690141, 3690323, 3692703, 3812907, 3814727, 3816981, 3830981, 3850707, 4107292, 4109616, 4141410, 4143272, 4143636, 4143650, 4143874, 4145498, 4147010, 4149474, 4323438, 4347854, 4387614, 4389070, 4583236, 4583852, 4585896, 4589438, 4707878, 4707892, 4709656, 4987836, 4987878, 4987892, 5010341, 5012385, 5012581, 5012749, 5030389.

Some larger examples :