Search a number
-
+
212411223012300 = 2235213277196622441
BaseRepresentation
bin110000010010111111010111…
…011111100111001111001100
31000212002022111100100121221220
4300102333113133213033030
5210320121141042343200
62031432211351523340
762512130056264524
oct6022772737471714
91025068440317856
10212411223012300
1161754103928824
121b9a6874989550
13916a3a5497c80
143a64a88128684
151985483cea4a0
hexc12fd77e73cc

212411223012300 has 144 divisors (see below), whose sum is σ = 664240944421152. Its totient is φ = 52097081702400.

The previous prime is 212411223012269. The next prime is 212411223012379. The reversal of 212411223012300 is 3210322114212.

It is a super-3 number, since 3×2124112230123003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97230921 + ... + 99391520.

It is an arithmetic number, because the mean of its divisors is an integer number (4612784336258).

Almost surely, 2212411223012300 is an apocalyptic number.

212411223012300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212411223012300 is an abundant number, since it is smaller than the sum of its proper divisors (451829721408852).

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

212411223012300 is a wasteful number, since it uses less digits than its factorization.

212411223012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196622748 (or 196622741 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212411223012300 its reverse (3210322114212), we get a palindrome (215621545126512).

The spelling of 212411223012300 in words is "two hundred twelve trillion, four hundred eleven billion, two hundred twenty-three million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 277 300 325 390 554 650 780 831 975 1108 1300 1385 1662 1950 2770 3324 3601 3900 4155 5540 6925 7202 8310 10803 13850 14404 16620 18005 20775 21606 27700 36010 41550 43212 54015 72020 83100 90025 108030 180050 216060 270075 360100 540150 1080300 196622441 393244882 589867323 786489764 983112205 1179734646 1966224410 2359469292 2556091733 2949336615 3932448820 4915561025 5112183466 5898673230 7668275199 9831122050 10224366932 11797346460 12780458665 14746683075 15336550398 19662244100 25560917330 29493366150 30673100796 38341375995 51121834660 54464416157 58986732300 63902293325 76682751990 108928832314 127804586650 153365503980 163393248471 191706879975 217857664628 255609173300 272322080785 326786496942 383413759950 544644161570 653572993884 708037410041 766827519900 816966242355 1089288323140 1361610403925 1416074820082 1633932484710 2124112230123 2723220807850 2832149640164 3267864969420 3540187050205 4084831211775 4248224460246 5446441615700 7080374100410 8169662423550 8496448920492 10620561150615 14160748200820 16339324847100 17700935251025 21241122301230 35401870502050 42482244602460 53102805753075 70803741004100 106205611506150 212411223012300