Search a number
-
+
11120003021100 = 22352199532047091
BaseRepresentation
bin1010000111010001001111…
…0101000111100100101100
31110101001200010111202222110
42201310103311013210230
52424142231233133400
635352243040444020
72225252020060521
oct241642365074454
943331603452873
1011120003021100
1135a7a6a897906
1212b716a619610
136287c512854c
142a62d5067148
151443cba59e50
hexa1d13d4792c

11120003021100 has 144 divisors (see below), whose sum is σ = 33902791332480. Its totient is φ = 2806314739200.

The previous prime is 11120003021077. The next prime is 11120003021159. The reversal of 11120003021100 is 112030002111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4408555 + ... + 6455645.

It is an arithmetic number, because the mean of its divisors is an integer number (235436050920).

Almost surely, 211120003021100 is an apocalyptic number.

11120003021100 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 11120003021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951395666240).

11120003021100 is an abundant number, since it is smaller than the sum of its proper divisors (22782788311380).

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

11120003021100 is a wasteful number, since it uses less digits than its factorization.

11120003021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048080 (or 2048073 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11120003021100 its reverse (112030002111), we get a palindrome (11232033023211).

The spelling of 11120003021100 in words is "eleven trillion, one hundred twenty billion, three million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 953 1140 1425 1900 1906 2850 2859 3812 4765 5700 5718 9530 11436 14295 18107 19060 23825 28590 36214 47650 54321 57180 71475 72428 90535 95300 108642 142950 181070 217284 271605 285900 362140 452675 543210 905350 1086420 1358025 1810700 2047091 2716050 4094182 5432100 6141273 8188364 10235455 12282546 20470910 24565092 30706365 38894729 40941820 51177275 61412730 77789458 102354550 116684187 122825460 153531825 155578916 194473645 204709100 233368374 307063650 388947290 466736748 583420935 614127300 777894580 972368225 1166841870 1944736450 1950877723 2333683740 2917104675 3889472900 3901755446 5834209350 5852633169 7803510892 9754388615 11668418700 11705266338 19508777230 23410532676 29263165845 37066676737 39017554460 48771943075 58526331690 74133353474 97543886150 111200030211 117052663380 146315829225 148266706948 185333383685 195087772300 222400060422 292631658450 370666767370 444800120844 556000151055 585263316900 741333534740 926666918425 1112000302110 1853333836850 2224000604220 2780000755275 3706667673700 5560001510550 11120003021100