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11210020220020 = 22529371733019469
BaseRepresentation
bin1010001100100000100101…
…0001011110110001110100
31110200200000120202021120211
42203020021101132301310
52432131110134020040
635501451233435204
72234616515455636
oct243101121366164
943620016667524
1011210020220020
113632163195786
1213106b110bb04
1363413c68ccab
142aa7d4360a56
151468e96828ea
hexa320945ec74

11210020220020 has 96 divisors (see below), whose sum is σ = 25155566906400. Its totient is φ = 4188026271744.

The previous prime is 11210020219999. The next prime is 11210020220071. The reversal of 11210020220020 is 2002202001211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1075360704016 + 10134659516004 = 1036996^2 + 3183498^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202846 + ... + 5222314.

It is an arithmetic number, because the mean of its divisors is an integer number (262037155275).

Almost surely, 211210020220020 is an apocalyptic number.

11210020220020 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 11210020220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577783453200).

11210020220020 is an abundant number, since it is smaller than the sum of its proper divisors (13945546686380).

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

11210020220020 is a wasteful number, since it uses less digits than its factorization.

11210020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019717 (or 3019715 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11210020220020 its reverse (2002202001211), we get a palindrome (13212222221231).

The spelling of 11210020220020 in words is "eleven trillion, two hundred ten billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 173 185 290 346 370 580 692 740 865 1073 1730 2146 3460 4292 5017 5365 6401 10034 10730 12802 20068 21460 25085 25604 32005 50170 64010 100340 128020 185629 371258 742516 928145 1856290 3019469 3712580 6038938 12077876 15097345 30194690 60389380 87564601 111720353 175129202 223440706 350258404 437823005 446881412 522368137 558601765 875646010 1044736274 1117203530 1751292020 2089472548 2234407060 2611840685 3239890237 5223681370 6479780474 10447362740 12959560948 15148675973 16199451185 19327621069 30297351946 32398902370 38655242138 60594703892 64797804740 75743379865 77310484276 96638105345 151486759730 193276210690 302973519460 386552421380 560501011001 1121002022002 2242004044004 2802505055005 5605010110010 11210020220020