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11020222102120 = 2357211246467457
BaseRepresentation
bin1010000001011101100001…
…1011000111101001101000
31110000112010020002220101121
42200113120123013221220
52421023403324231440
635234341541225024
72215120243210300
oct240273033075150
943015106086347
1011020222102120
113569717097600
12129b962102174
1361c282b2415a
142a154b154600
151419dbb9834a
hexa05d86c7a68

11020222102120 has 144 divisors (see below), whose sum is σ = 31704281918820. Its totient is φ = 3434874347520.

The previous prime is 11020222102117. The next prime is 11020222102121. The reversal of 11020222102120 is 2120122202011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10212204487716 + 808017614404 = 3195654^2 + 898898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11020222102094 and 11020222102103.

It is not an unprimeable number, because it can be changed into a prime (11020222102121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22996569 + ... + 23470888.

Almost surely, 211020222102120 is an apocalyptic number.

11020222102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020222102120 is an abundant number, since it is smaller than the sum of its proper divisors (20684059816700).

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

11020222102120 is a wasteful number, since it uses less digits than its factorization.

11020222102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46467504 (or 46467482 counting only the distinct ones).

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

Adding to 11020222102120 its reverse (2120122202011), we get a palindrome (13140344304131).

The spelling of 11020222102120 in words is "eleven trillion, twenty billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 6776 8470 10780 11858 16940 21560 23716 29645 33880 47432 59290 118580 237160 46467457 92934914 185869828 232337285 325272199 371739656 464674570 511142027 650544398 929349140 1022284054 1301088796 1626360995 1858698280 2044568108 2276905393 2555710135 2602177592 3252721990 3577994189 4089136216 4553810786 5111420270 5622562297 6505443980 7155988378 9107621572 10222840540 11245124594 11384526965 13010887960 14311976756 17889970945 18215243144 20445681080 22490249188 22769053930 25045959323 28112811485 28623953512 35779941890 39357936079 44980498376 45538107860 50091918646 56225622970 71559883780 78715872158 91076215720 100183837292 112451245940 125229796615 143119767560 157431744316 196789680395 200367674584 224902491880 250459593230 275505552553 314863488632 393579360790 500919186460 551011105106 787158721580 1001838372920 1102022210212 1377527762765 1574317443160 2204044420424 2755055525530 5510111051060 11020222102120