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11222132020200 = 23325216693735481
BaseRepresentation
bin1010001101001101101100…
…1100010101001111101000
31110201211021200020110221200
42203103123030111033220
52432330411244121300
635511213135404200
72235525615202503
oct243233314251750
943654250213850
1011222132020200
113637308a684a2
121312b11383660
1363531ca3a36a
142ab222b6213a
15146da7b39200
hexa34db3153e8

11222132020200 has 144 divisors (see below), whose sum is σ = 37710251112300. Its totient is φ = 2990774707200.

The previous prime is 11222132020153. The next prime is 11222132020213. The reversal of 11222132020200 is 202023122211.

11222132020200 is a `hidden beast` number, since 1 + 122 + 2 + 1 + 320 + 20 + 200 = 666.

11222132020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1877946825924 + 9344185194276 = 1370382^2 + 3056826^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136460 + ... + 4871940.

Almost surely, 211222132020200 is an apocalyptic number.

11222132020200 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 11222132020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855125556150).

11222132020200 is an abundant number, since it is smaller than the sum of its proper divisors (26488119092100).

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

11222132020200 is a wasteful number, since it uses less digits than its factorization.

11222132020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737172 (or 3737160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11222132020200 its reverse (202023122211), we get a palindrome (11424155142411).

It can be divided in two parts, 1122213 and 2020200, that added together give a palindrome (3142413).

The spelling of 11222132020200 in words is "eleven trillion, two hundred twenty-two billion, one hundred thirty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1669 1800 3338 5007 6676 8345 10014 13352 15021 16690 20028 25035 30042 33380 40056 41725 50070 60084 66760 75105 83450 100140 120168 125175 150210 166900 200280 250350 300420 333800 375525 500700 600840 751050 1001400 1502100 3004200 3735481 7470962 11206443 14941924 18677405 22412886 29883848 33619329 37354810 44825772 56032215 67238658 74709620 89651544 93387025 112064430 134477316 149419240 168096645 186774050 224128860 268954632 280161075 336193290 373548100 448257720 560322150 672386580 747096200 840483225 1120644300 1344773160 1680966450 2241288600 3361932900 6234517789 6723865800 12469035578 18703553367 24938071156 31172588945 37407106734 49876142312 56110660101 62345177890 74814213468 93517766835 112221320202 124690355780 149628426936 155862944725 187035533670 224442640404 249380711560 280553300505 311725889450 374071067340 448885280808 467588834175 561106601010 623451778900 748142134680 935177668350 1122213202020 1246903557800 1402766502525 1870355336700 2244426404040 2805533005050 3740710673400 5611066010100 11222132020200