Search a number
-
+
12106060930320 = 243578598388811
BaseRepresentation
bin1011000000101010100101…
…1101100001110100010000
31120212022212012102121101220
42300022221131201310100
53041321203044232240
641425240403525040
72356430322026550
oct260125135416420
946768765377356
1012106060930320
113948173877625
12143629b389780
1369a79aaac616
142dbd1798d160
1515ed8e2cb5d0
hexb02a9761d10

12106060930320 has 160 divisors (see below), whose sum is σ = 42939979760640. Its totient is φ = 2763878008320.

The previous prime is 12106060930219. The next prime is 12106060930333. The reversal of 12106060930320 is 2303906060121.

It is a super-2 number, since 2×121060609303202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751286 + ... + 5637525.

It is an arithmetic number, because the mean of its divisors is an integer number (268374873504).

Almost surely, 212106060930320 is an apocalyptic number.

12106060930320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12106060930320 is an abundant number, since it is smaller than the sum of its proper divisors (30833918830320).

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

12106060930320 is a wasteful number, since it uses less digits than its factorization.

12106060930320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389693 (or 8389687 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 12106060930320 its reverse (2303906060121), we get a palindrome (14409966990441).

The spelling of 12106060930320 in words is "twelve trillion, one hundred six billion, sixty million, nine hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 859 1680 1718 2577 3436 4295 5154 6013 6872 8590 10308 12026 12885 13744 17180 18039 20616 24052 25770 30065 34360 36078 41232 48104 51540 60130 68720 72156 90195 96208 103080 120260 144312 180390 206160 240520 288624 360780 481040 721560 1443120 8388811 16777622 25166433 33555244 41944055 50332866 58721677 67110488 83888110 100665732 117443354 125832165 134220976 167776220 176165031 201331464 234886708 251664330 293608385 335552440 352330062 402662928 469773416 503328660 587216770 671104880 704660124 880825155 939546832 1006657320 1174433540 1409320248 1761650310 2013314640 2348867080 2818640496 3523300620 4697734160 7046601240 7205988649 14093202480 14411977298 21617965947 28823954596 36029943245 43235931894 50441920543 57647909192 72059886490 86471863788 100883841086 108089829735 115295818384 144119772980 151325761629 172943727576 201767682172 216179659470 252209602715 288239545960 302651523258 345887455152 403535364344 432359318940 504419205430 576479091920 605303046516 756628808145 807070728688 864718637880 1008838410860 1210606093032 1513257616290 1729437275760 2017676821720 2421212186064 3026515232580 4035353643440 6053030465160 12106060930320