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11020221122020 = 22511243163649709
BaseRepresentation
bin1010000001011101100001…
…0111011000010111100100
31110000112010011021002221121
42200113120113120113210
52421023403101401040
635234341504223324
72215120231655665
oct240273027302744
943015104232847
1011020221122020
113569716588200
12129b96190ab44
1361c282870006
142a154ad7b36c
151419dba52c4a
hexa05d85d85e4

11020221122020 has 144 divisors (see below), whose sum is σ = 26188884912960. Its totient is φ = 3890139644160.

The previous prime is 11020221122017. The next prime is 11020221122039. The reversal of 11020221122020 is 2022112202011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020221121985 and 11020221122003.

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, 16636926 + ... + 17286634.

It is an arithmetic number, because the mean of its divisors is an integer number (181867256340).

Almost surely, 211020221122020 is an apocalyptic number.

11020221122020 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 11020221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094442456480).

11020221122020 is an abundant number, since it is smaller than the sum of its proper divisors (15168663790940).

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

11020221122020 is a wasteful number, since it uses less digits than its factorization.

11020221122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649946 (or 649933 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11020221122020 its reverse (2022112202011), we get a palindrome (13042333324031).

The spelling of 11020221122020 in words is "eleven trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 163 172 215 220 242 326 430 473 484 605 652 815 860 946 1210 1630 1793 1892 2365 2420 3260 3586 4730 5203 7009 7172 8965 9460 10406 14018 17930 19723 20812 26015 28036 35045 35860 39446 52030 70090 77099 78892 98615 104060 140180 154198 197230 308396 385495 394460 649709 770990 848089 1299418 1541980 1696178 2598836 3248545 3392356 4240445 6497090 7146799 8480890 12994180 14293598 16961780 27937487 28587196 35733995 55874974 71467990 78614789 105902567 111749948 139687435 142935980 157229578 211805134 279374870 307312357 314459156 393073945 423610268 529512835 558749740 614624714 786147890 1059025670 1164928237 1229249428 1536561785 1572295780 2118051340 2329856474 3073123570 3380435927 4553810381 4659712948 5824641185 6146247140 6760871854 9107620762 11649282370 12814210607 13521743708 16902179635 18215241524 22769051905 23298564740 25628421214 33804359270 45538103810 50091914191 51256842428 64071053035 67608718540 91076207620 100183828382 128142106070 200367656764 250459570955 256284212140 500919141910 551011056101 1001838283820 1102022112202 2204044224404 2755055280505 5510110561010 11020221122020