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11222102200100 = 225211191019526931
BaseRepresentation
bin1010001101001101100101…
…1010100100111100100100
31110201211012121010110110112
42203103121122210330210
52432330331130400400
635511210152312152
72235525103553441
oct243233132447444
943654177113415
1011222102200100
1136372a3150190
121312b033a2658
136353167c922c
142ab21cbdc9c8
15146da51e8835
hexa34d96a4f24

11222102200100 has 144 divisors (see below), whose sum is σ = 27991470931200. Its totient is φ = 3862186128000.

The previous prime is 11222102200061. The next prime is 11222102200117. The reversal of 11222102200100 is 100220122211.

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, 21033635 + ... + 21560565.

It is an arithmetic number, because the mean of its divisors is an integer number (194385214800).

Almost surely, 211222102200100 is an apocalyptic number.

11222102200100 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 11222102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995735465600).

11222102200100 is an abundant number, since it is smaller than the sum of its proper divisors (16769368731100).

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

11222102200100 is a wasteful number, since it uses less digits than its factorization.

11222102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527994 (or 527987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11222102200100 its reverse (100220122211), we get a palindrome (11322322322311).

The spelling of 11222102200100 in words is "eleven trillion, two hundred twenty-two billion, one hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1019 1045 1100 1900 2038 2090 4076 4180 5095 5225 10190 10450 11209 19361 20380 20900 22418 25475 38722 44836 50950 56045 77444 96805 101900 112090 193610 212971 224180 280225 387220 425942 484025 526931 560450 851884 968050 1053862 1064855 1120900 1936100 2107724 2129710 2634655 4259420 5269310 5324275 5796241 10011689 10538620 10648550 11592482 13173275 20023378 21297100 23184964 26346550 28981205 40046756 50058445 52693100 57962410 100116890 110128579 115924820 144906025 200233780 220257158 250292225 289812050 440514316 500584450 536942689 550642895 579624100 1001168900 1073885378 1101285790 2147770756 2202571580 2684713445 2753214475 5369426890 5506428950 5906369579 10201911091 10738853780 11012857900 11812739158 13423567225 20403822182 23625478316 26847134450 29531847895 40807644364 51009555455 53694268900 59063695790 102019110910 112221022001 118127391580 147659239475 204038221820 224442044002 255047777275 295318478950 448884088004 510095554550 561105110005 590636957900 1020191109100 1122210220010 2244420440020 2805525550025 5611051100050 11222102200100