Search a number
-
+
212323002113200 = 245211172838542809
BaseRepresentation
bin110000010001101101001101…
…000111100101110010110000
31000211202212210002011121110111
4300101231031013211302300
5210312200002020110300
62031323501323511104
762502554632103206
oct6021551507456260
91024685702147414
10212323002113200
116171a752497560
121b991753988494
139161c86129324
143a606b9623076
15198301dc499ba
hexc11b4d1e5cb0

212323002113200 has 120 divisors (see below), whose sum is σ = 589213362328560. Its totient is φ = 72666695884800.

The previous prime is 212323002113161. The next prime is 212323002113231. The reversal of 212323002113200 is 2311200323212.

It is a super-2 number, since 2×2123230021132002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419196605 + ... + 1419346204.

It is an arithmetic number, because the mean of its divisors is an integer number (4910111352738).

Almost surely, 2212323002113200 is an apocalyptic number.

212323002113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323002113200 is an abundant number, since it is smaller than the sum of its proper divisors (376890360215360).

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

212323002113200 is a wasteful number, since it uses less digits than its factorization.

212323002113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838542855 (or 2838542844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212323002113200 its reverse (2311200323212), we get a palindrome (214634202436412).

The spelling of 212323002113200 in words is "two hundred twelve trillion, three hundred twenty-three billion, two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 2838542809 5677085618 11354171236 14192714045 22708342472 28385428090 31223970899 45416684944 48255227753 56770856180 62447941798 70963570225 96510455506 113541712360 124895883596 141927140450 156119854495 193020911012 227083424720 241276138765 249791767192 283854280900 312239708990 386041822024 482552277530 499583534384 530807505283 567708561800 624479417980 772083644048 780599272475 965104555060 1061615010566 1135417123600 1206380693825 1248958835960 1561198544950 1930209110120 2123230021132 2412761387650 2497917671920 2654037526415 3122397089900 3860418220240 4246460042264 4825522775300 5308075052830 6244794179800 8492920084528 9651045550600 10616150105660 12489588359600 13270187632075 19302091101200 21232300211320 26540375264150 42464600422640 53080750528300 106161501056600 212323002113200