Search a number
-
+
11020220222220 = 223251146112073249
BaseRepresentation
bin1010000001011101100001…
…0011111100101100001100
31110000112010002120101122200
42200113120103330230030
52421023402334102340
635234341433041500
72215120221220446
oct240273023745414
943015102511580
1011020220222220
113569716023170
12129b961556290
1361c2826165a1
142a154abc5496
151419db926330
hexa05d84fcb0c

11020220222220 has 144 divisors (see below), whose sum is σ = 36546017508000. Its totient is φ = 2665773158400.

The previous prime is 11020220222131. The next prime is 11020220222237. The reversal of 11020220222220 is 2222202202011.

11020220222220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 220 + 222 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11020220222193 and 11020220222202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123845 + ... + 6949404.

It is an arithmetic number, because the mean of its divisors is an integer number (253791788250).

Almost surely, 211020220222220 is an apocalyptic number.

11020220222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020220222220 is an abundant number, since it is smaller than the sum of its proper divisors (25525797285780).

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

11020220222220 is a wasteful number, since it uses less digits than its factorization.

11020220222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073736 (or 12073731 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11020220222220 its reverse (2222202202011), we get a palindrome (13242422424231).

The spelling of 11020220222220 in words is "eleven trillion, twenty billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 461 495 660 922 990 1383 1844 1980 2305 2766 4149 4610 5071 5532 6915 8298 9220 10142 13830 15213 16596 20284 20745 25355 27660 30426 41490 45639 50710 60852 76065 82980 91278 101420 152130 182556 228195 304260 456390 912780 12073249 24146498 36219747 48292996 60366245 72439494 108659241 120732490 132805739 144878988 181098735 217318482 241464980 265611478 362197470 398417217 434636964 531222956 543296205 664028695 724394940 796834434 1086592410 1195251651 1328057390 1593668868 1992086085 2173184820 2390503302 2656114780 3984172170 4781006604 5565767789 5976258255 7968344340 11131535578 11952516510 16697303367 22263071156 23905033020 27828838945 33394606734 50091910101 55657677890 61223445679 66789213468 83486516835 100183820202 111315355780 122446891358 166973033670 183670337037 200367640404 244893782716 250459550505 306117228395 333946067340 367340674074 500919101010 551011011111 612234456790 734681348148 918351685185 1001838202020 1102022022222 1224468913580 1836703370370 2204044044444 2755055055555 3673406740740 5510110111110 11020220222220