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111100211102020 = 22572555720400857
BaseRepresentation
bin11001010000101110001000…
…100111100000000101000100
3112120101002001201211122101011
4121100232020213200011010
5104030231213020231040
61032142422110012004
732254503541551100
oct3120561047400504
9476332051748334
10111100211102020
1132444375877268
1210563b6baa7004
1349cb921a2006a
141d613c947a900
15cc9e889b23ea
hex650b889e0144

111100211102020 has 72 divisors (see below), whose sum is σ = 271450797221016. Its totient is φ = 38084644394496.

The previous prime is 111100211102017. The next prime is 111100211102051. The reversal of 111100211102020 is 20201112001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5743576523776 + 105356634578244 = 2396576^2 + 10264338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4754569 + ... + 15646288.

It is an arithmetic number, because the mean of its divisors is an integer number (3770149961403).

Almost surely, 2111100211102020 is an apocalyptic number.

111100211102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100211102020 is an abundant number, since it is smaller than the sum of its proper divisors (160350586118996).

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

111100211102020 is a wasteful number, since it uses less digits than its factorization.

111100211102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20406437 (or 20406428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111100211102020 its reverse (20201112001111), we get a palindrome (131301323103131).

The spelling of 111100211102020 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 5557 11114 22228 27785 38899 55570 77798 111140 155596 194495 272293 388990 544586 777980 1089172 1361465 2722930 5445860 20400857 40801714 81603428 102004285 142805999 204008570 285611998 408017140 571223996 714029995 999641993 1428059990 1999283986 2856119980 3998567972 4998209965 9996419930 19992839860 113367562349 226735124698 453470249396 566837811745 793572936443 1133675623490 1587145872886 2267351246980 3174291745772 3967864682215 5555010555101 7935729364430 11110021110202 15871458728860 22220042220404 27775052775505 55550105551010 111100211102020