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frugal n.  and  nialpdrome

First numbers that belong to both sets:

10000, 20000, 32000, 40000, 50000, 64000, 74431, 80000, 98441, 100000, 200000, 300000, 320000, 400000, 443111, 500000, 600000, 640000, 700000, 743311, 750000, 766322, 800000, 875000, 960000, 1000000, 1100000, 2000000, 2100000, 2200000, 3000000, 3100000, 3200000, 3320000, 4000000, 4100000, 4200000, 4300000, 4320000, 4400000, 5000000, 5200000, 5300000, 5400000, 5440000, 5500000, 6000000, 6100000, 6200000, 6320000, 6400000, 6500000, 6640000, 7000000, 7100000, 7200000, 7300000, 7400000, 7500000, 7520000, 7600000, 7750000, 7760000, 7766643, 7776000, 8000000, 8100000, 8200000, 8300000, 8400000, 8500000, 8600000, 8640000, 8750000, 8776431, 8800000, 8874441, 8875000, 9000000, 9200000, 9400000, 9440000, 9500000, 9600000, 9654421, 9700000, 9720000, 9760000, 9800000, 9844111, 9853321, 9875000, 9884321, 9920000, 9966551, 10000000, 11000000, 11100000, 20000000, 21000000, 21100000, 21111111, 22000000, 22200000, 30000000, 31000000, 31100000, 32000000, 32200000, 33000000, 33100000, 33200000, 40000000, 41000000, 42000000, 42100000, 42200000, 43000000, 43100000, 43200000, 43300000, 44000000, 44300000, 44320000, 44400000, 50000000, 51000000, 51100000, 52000000, 52100000, 53000000, 53200000, 54000000, 54100000, 54200000, 54320000, 54400000, 54432000, 55000000, 55200000, 55300000, 55400000, 55500000, 55520000, 60000000, 61000000, 62000000, 62200000, 63000000, 63100000, 63200000, 63333333, 64000000, 64100000, 64300000, 64320000, 64400000, 65000000, 65200000, 65300000, 65440000, 65500000, 66000000, 66100000, 66200000, 66320000, 66400000, 66500000, 66550000, 66666321, 70000000, 71000000, 72000000, 72200000, 73000000, 73200000, 73300000, 74000000, 74200000, 74300000, 74320000, 74400000, 74420000, 75000000, 75100000, 75200000, 75500000, 75520000, 76000000, 76100000, 76400000, 76442211, 76600000, 76640000, 76666331, 77000000, 77200000, 77300000, 77500000, 77600000, 77750000, 77754411, 77760000, 80000000, 81000000, 81100000, 82000000, 82100000, 83000000, 83200000, 84000000, 84100000, 84200000, 84400000, 85000000, 85200000, 85300000, 85400000, 85440000, 86000000, 86200000, 86300000, 86400000, 86500000, 86600000, 87000000, 87200000, 87500000, 87520000, 87600000, 87700000, 88000000, 88100000, 88300000, 88500000, 88600000, 88640000, 88700000, 88750000, 88800000, 88887421, 90000000, 91000000, 91100000, 92000000, 92200000, 93000000, 93200000, 94000000, 94100000, 94400000, 95000000, 95200000, 95300000, 95500000, 96000000, 96100000, 96320000, 96400000, 96500000, 97000000, 97100000, 97200000, 97400000, 97500000, 97600000, 97700000, 98000000, 98200000, 98300000, 98400000, 98500000, 98720000, 98750000, 98755531, 98888864, 99100000, 99200000, 99400000, 99500000.

Some larger examples :