Search a number
-
+
104402024411100 = 223521339089684841
BaseRepresentation
bin10111101111001111111101…
…100101000010111111011100
3111200122201212120212100011120
4113233033331211002333130
5102141010321222123400
61010013343343050540
730663540330231513
oct2757177545027734
9450581776770146
10104402024411100
11302a1717030169
12b86198a8a0a50
1346340b7ac31b0
141bad12912567a
15c10b09c58ca0
hex5ef3fd942fdc

104402024411100 has 144 divisors (see below), whose sum is σ = 325314797374560. Its totient is φ = 25698264883200.

The previous prime is 104402024411071. The next prime is 104402024411137. The reversal of 104402024411100 is 1114420204401.

It is a super-2 number, since 2×1044020244111002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152104680 + ... + 152789520.

Almost surely, 2104402024411100 is an apocalyptic number.

104402024411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104402024411100 is an abundant number, since it is smaller than the sum of its proper divisors (220912772963460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104402024411100 is a wasteful number, since it uses less digits than its factorization.

104402024411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723960 (or 723953 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 104402024411100 its reverse (1114420204401), we get a palindrome (105516444615501).

The spelling of 104402024411100 in words is "one hundred four trillion, four hundred two billion, twenty-four million, four hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 39089 78178 117267 156356 195445 234534 390890 469068 508157 586335 684841 781780 977225 1016314 1172670 1369682 1524471 1954450 2032628 2054523 2345340 2540785 2739364 2931675 3048942 3424205 3908900 4109046 5081570 5863350 6097884 6848410 7622355 8218092 8902933 10163140 10272615 11726700 12703925 13696820 15244710 17121025 17805866 20545230 25407850 26708799 30489420 34242050 35611732 38111775 41090460 44514665 50815700 51363075 53417598 68484100 76223550 89029330 102726150 106835196 133543995 152447100 178058660 205452300 222573325 267087990 445146650 534175980 667719975 890293300 1335439950 2670879900 26769749849 53539499698 80309249547 107078999396 133848749245 160618499094 267697498490 321236998188 348006748037 401546247735 535394996980 669243746225 696013496074 803092495470 1044020244111 1338487492450 1392026992148 1606184990940 1740033740185 2007731238675 2088040488222 2676974984900 3480067480370 4015462477350 4176080976444 5220101220555 6960134960740 8030924954700 8700168700925 10440202441110 17400337401850 20880404882220 26100506102775 34800674803700 52201012205550 104402024411100