Q: What is the sum of all factors of the number 23,123,100 excluding 23,123,100?

 A: 69,001,212

Why is 69,001,212 the sum of all factors of 23,123,100, excluding 23,123,100?

The factors of the number 23,123,100 are: 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 25, 26, 28, 30, 33, 35, 39, 42, 44, 49, 50, 52, 55, 60, 65, 66, 70, 75, 77, 78, 84, 91, 98, 100, 105, 110, 121, 130, 132, 140, 143, 147, 150, 154, 156, 165, 175, 182, 195, 196, 210, 220, 231, 242, 245, 260, 273, 275, 286, 294, 300, 308, 325, 330, 350, 363, 364, 385, 390, 420, 429, 455, 462, 484, 490, 525, 539, 546, 550, 572, 588, 605, 637, 650, 660, 700, 715, 726, 735, 770, 780, 825, 847, 858, 910, 924, 975, 980, 1001, 1050, 1078, 1092, 1100, 1155, 1210, 1225, 1274, 1300, 1365, 1430, 1452, 1470, 1540, 1573, 1617, 1650, 1694, 1716, 1815, 1820, 1911, 1925, 1950, 2002, 2100, 2145, 2156, 2275, 2310, 2420, 2450, 2541, 2548, 2695, 2730, 2860, 2940, 3003, 3025, 3146, 3185, 3234, 3300, 3388, 3575, 3630, 3675, 3822, 3850, 3900, 4004, 4235, 4290, 4550, 4620, 4719, 4900, 5005, 5082, 5390, 5460, 5775, 5929, 6006, 6050, 6292, 6370, 6468, 6825, 7007, 7150, 7260, 7350, 7644, 7700, 7865, 8085, 8470, 8580, 9075, 9100, 9438, 9555, 10010, 10164, 10725, 10780, 11011, 11550, 11858, 12012, 12100, 12705, 12740, 13475, 13650, 14014, 14300, 14700, 15015, 15730, 15925, 16170, 16940, 17787, 18150, 18876, 19110, 20020, 21021, 21175, 21450, 22022, 23100, 23595, 23716, 25025, 25410, 26950, 27300, 28028, 29645, 30030, 31460, 31850, 32340, 33033, 35035, 35574, 36300, 38220, 39325, 40425, 42042, 42350, 42900, 44044, 47190, 47775, 50050, 50820, 53900, 55055, 59290, 60060, 63525, 63700, 66066, 70070, 71148, 75075, 77077, 78650, 80850, 84084, 84700, 88935, 94380, 95550, 100100, 105105, 110110, 117975, 118580, 127050, 132132, 140140, 148225, 150150, 154154, 157300, 161700, 165165, 175175, 177870, 191100, 210210, 220220, 231231, 235950, 254100, 275275, 296450, 300300, 308308, 330330, 350350, 355740, 385385, 420420, 444675, 462462, 471900, 525525, 550550, 592900, 660660, 700700, 770770, 825825, 889350, 924924, 1051050, 1101100, 1156155, 1541540, 1651650, 1778700, 1926925, 2102100, 2312310, 3303300, 3853850, 4624620, 5780775, 7707700, 11561550, 23123100.

If you add them up, you will get the total of 23,123,169. Now subtract 23,123,100 to get 69,001,212


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