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A number is a palindrome if it reads the same way forwards and backwards. For example, 27872 and 48484 are palindromes, but 28389 and 12541 are not. What is the sum of all of the 5-digit even palindromes?

 Jan 3, 2022
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sum(20002, 20102, 20202, 20302, 20402, 20502, 20602, 20702, 20802, 20902, 21012, 21112, 21212, 21312, 21412, 21512, 21612, 21712, 21812, 21912, 22022, 22122, 22222, 22322, 22422, 22522, 22622, 22722, 22822, 22922, 23032, 23132, 23232, 23332, 23432, 23532, 23632, 23732, 23832, 23932, 24042, 24142, 24242, 24342, 24442, 24542, 24642, 24742, 24842, 24942, 25052, 25152, 25252, 25352, 25452, 25552, 25652, 25752, 25852, 25952, 26062, 26162, 26262, 26362, 26462, 26562, 26662, 26762, 26862, 26962, 27072, 27172, 27272, 27372, 27472, 27572, 27672, 27772, 27872, 27972, 28082, 28182, 28282, 28382, 28482, 28582, 28682, 28782, 28882, 28982, 29092, 29192, 29292, 29392, 29492, 29592, 29692, 29792, 29892, 29992, 40004, 40104, 40204, 40304, 40404, 40504, 40604, 40704, 40804, 40904, 41014, 41114, 41214, 41314, 41414, 41514, 41614, 41714, 41814, 41914, 42024, 42124, 42224, 42324, 42424, 42524, 42624, 42724, 42824, 42924, 43034, 43134, 43234, 43334, 43434, 43534, 43634, 43734, 43834, 43934, 44044, 44144, 44244, 44344, 44444, 44544, 44644, 44744, 44844, 44944, 45054, 45154, 45254, 45354, 45454, 45554, 45654, 45754, 45854, 45954, 46064, 46164, 46264, 46364, 46464, 46564, 46664, 46764, 46864, 46964, 47074, 47174, 47274, 47374, 47474, 47574, 47674, 47774, 47874, 47974, 48084, 48184, 48284, 48384, 48484, 48584, 48684, 48784, 48884, 48984, 49094, 49194, 49294, 49394, 49494, 49594, 49694, 49794, 49894, 49994, 60006, 60106, 60206, 60306, 60406, 60506, 60606, 60706, 60806, 60906, 61016, 61116, 61216, 61316, 61416, 61516, 61616, 61716, 61816, 61916, 62026, 62126, 62226, 62326, 62426, 62526, 62626, 62726, 62826, 62926, 63036, 63136, 63236, 63336, 63436, 63536, 63636, 63736, 63836, 63936, 64046, 64146, 64246, 64346, 64446, 64546, 64646, 64746, 64846, 64946, 65056, 65156, 65256, 65356, 65456, 65556, 65656, 65756, 65856, 65956, 66066, 66166, 66266, 66366, 66466, 66566, 66666, 66766, 66866, 66966, 67076, 67176, 67276, 67376, 67476, 67576, 67676, 67776, 67876, 67976, 68086, 68186, 68286, 68386, 68486, 68586, 68686, 68786, 68886, 68986, 69096, 69196, 69296, 69396, 69496, 69596, 69696, 69796, 69896, 69996, 80008, 80108, 80208, 80308, 80408, 80508, 80608, 80708, 80808, 80908, 81018, 81118, 81218, 81318, 81418, 81518, 81618, 81718, 81818, 81918, 82028, 82128, 82228, 82328, 82428, 82528, 82628, 82728, 82828, 82928, 83038, 83138, 83238, 83338, 83438, 83538, 83638, 83738, 83838, 83938, 84048, 84148, 84248, 84348, 84448, 84548, 84648, 84748, 84848, 84948, 85058, 85158, 85258, 85358, 85458, 85558, 85658, 85758, 85858, 85958, 86068, 86168, 86268, 86368, 86468, 86568, 86668, 86768, 86868, 86968, 87078, 87178, 87278, 87378, 87478, 87578, 87678, 87778, 87878, 87978, 88088, 88188, 88288, 88388, 88488, 88588, 88688, 88788, 88888, 88988, 89098, 89198, 89298, 89398, 89498, 89598, 89698, 89798, 89898, 89998) >>Total No.==400 >>Total Sum ==22,000,000

 Jan 3, 2022

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