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11200110221020 = 22572109127825593
BaseRepresentation
bin1010001011111011101010…
…0101110101011011011100
31110122201102221100011121211
42202332322211311123130
52432000311204033040
635453132024034204
72234116113042400
oct242767245653334
943581387304554
1011200110221020
113628a38262866
12130a7a6302964
13633220525066
142aa134149100
151465196518ea
hexa2fba9756dc

11200110221020 has 144 divisors (see below), whose sum is σ = 27828726266880. Its totient is φ = 3774844394496.

The previous prime is 11200110221009. The next prime is 11200110221059. The reversal of 11200110221020 is 2012201100211.

It is a congruent number.

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, 13153344 + ... + 13978936.

It is an arithmetic number, because the mean of its divisors is an integer number (193255043520).

Almost surely, 211200110221020 is an apocalyptic number.

11200110221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200110221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914363133440).

11200110221020 is an abundant number, since it is smaller than the sum of its proper divisors (16628616045860).

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

11200110221020 is a wasteful number, since it uses less digits than its factorization.

11200110221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825852 (or 825843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11200110221020 its reverse (2012201100211), we get a palindrome (13212311321231).

The spelling of 11200110221020 in words is "eleven trillion, two hundred billion, one hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 127 140 196 218 245 254 436 490 508 545 635 763 889 980 1090 1270 1526 1778 2180 2540 3052 3556 3815 4445 5341 6223 7630 8890 10682 12446 13843 15260 17780 21364 24892 26705 27686 31115 53410 55372 62230 69215 96901 106820 124460 138430 193802 276860 387604 484505 678307 825593 969010 1356614 1651186 1938020 2713228 3302372 3391535 4127965 5779151 6783070 8255930 11558302 13566140 16511860 23116604 28895755 40454057 57791510 80908114 89989637 104850311 115583020 161816228 179979274 202270285 209700622 359958548 404540570 419401244 449948185 524251555 629927459 733952177 809081140 899896370 1048503110 1259854918 1467904354 1799792740 2097006220 2519709836 2935808708 3149637295 3669760885 4409492213 5137665239 6299274590 7339521770 8818984426 10275330478 11428683899 12598549180 14679043540 17637968852 20550660956 22047461065 22857367798 25688326195 44094922130 45714735596 51376652390 57143419495 80000787293 88189844260 102753304780 114286838990 160001574586 228573677980 320003149172 400003936465 560005511051 800007872930 1120011022102 1600015745860 2240022044204 2800027555255 5600055110510 11200110221020