Search a number
alternating n.  and  balanced n.

First numbers that belong to both sets:

2, 9, 10, 12, 21, 38, 41, 49, 50, 52, 56, 78, 141, 147, 149, 163, 165, 169, 210, 212, 216, 232, 278, 290, 294, 410, 412, 416, 434, 438, 450, 527, 541, 563, 565, 569, 583, 587, 589, 612, 614, 618, 630, 632, 652, 654, 658, 676, 678, 690, 692, 694, 696, 698, 707, 709, 721, 781, 787, 789, 810, 812, 818, 838, 850, 852, 856, 872, 894, 898, 901, 905, 929, 961, 1014, 1054, 1070, 1210, 1294, 1298, 1454, 1470, 1478, 1490, 1634, 1654, 1670, 1830, 2103, 2107, 2109, 2127, 2141, 2163, 2165, 2169, 2327, 2343, 2347, 2349, 2361, 2381, 2387, 2389, 2501, 2505, 2529, 2583, 2587, 2589, 2701, 2707, 2709, 2723, 2725, 2729, 2761, 2769, 2785, 2947, 2949, 2961, 3010, 3012, 3016, 3214, 3238, 3250, 3252, 3256, 3270, 3274, 3276, 3298, 3410, 3412, 3416, 3432, 3474, 3476, 3490, 3492, 3496, 3610, 3612, 3634, 3636, 3654, 3658, 3672, 3696, 3850, 3852, 3858, 3874, 3876, 6721, 6767, 6947, 6963, 6983, 6989, 8123, 8125, 8147, 8161, 8165, 8169, 8303, 8309, 8321, 8323, 8327, 8345, 8363, 8367, 8381, 8385, 8503, 8507, 8509, 8521, 8525, 8527, 8541, 8543, 8547, 8563, 8565, 8569, 8585, 8703, 8745, 8763, 8765, 8783, 8903, 8907, 8909, 8921, 8927, 8945, 8961, 8969, 8983, 8985, 8987, 8989, 9014, 9018, 9038, 9050, 9052, 9074, 9076, 9278, 9430, 9434, 9436, 9450, 9452, 9458, 9614, 9638, 9650, 9652, 9656, 9670, 9674, 9676, 9698, 9814, 9818, 9830, 9834, 9836, 9870, 9878, 9894, 9898, 10121, 10127, 10129, 10143, 10145, 10301, 10307, 10327, 10343, 10347, 10349, 10361, 10383, 10387, 10389, 10505, 10509, 10521, 10523, 10525, 10541, 10545, 10547, 10549, 10567, 10581, 10585, 10703, 10705, 10707, 10721, 10725, 10747, 10749, 10767, 10781, 10901, 10905, 10921, 10929.

Some larger examples :