Search a number
-
+
11200002212100 = 22352137936351841
BaseRepresentation
bin1010001011111011010000…
…1001110100000100000100
31110122201011102002202020110
42202332310021310010010
52432000101031241400
635453113205033020
72234113332012522
oct242766411640404
943581142082213
1011200002212100
1136289922a1099
12130a7760b5770
13633204039060
142aa123a71312
1514650ee18e50
hexa2fb4274104

11200002212100 has 144 divisors (see below), whose sum is σ = 35339806718720. Its totient is φ = 2722025779200.

The previous prime is 11200002212081. The next prime is 11200002212153. The reversal of 11200002212100 is 121220000211.

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, 17867821 + ... + 18484020.

Almost surely, 211200002212100 is an apocalyptic number.

11200002212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200002212100 is an abundant number, since it is smaller than the sum of its proper divisors (24139804506620).

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

11200002212100 is a wasteful number, since it uses less digits than its factorization.

11200002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36351950 (or 36351943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200002212100 its reverse (121220000211), we get a palindrome (11321222212311).

The spelling of 11200002212100 in words is "eleven trillion, two hundred billion, two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 79 100 130 150 156 158 195 237 260 300 316 325 390 395 474 650 780 790 948 975 1027 1185 1300 1580 1950 1975 2054 2370 3081 3900 3950 4108 4740 5135 5925 6162 7900 10270 11850 12324 15405 20540 23700 25675 30810 51350 61620 77025 102700 154050 308100 36351841 72703682 109055523 145407364 181759205 218111046 363518410 436222092 472573933 545277615 727036820 908796025 945147866 1090555230 1417721799 1817592050 1890295732 2181110460 2362869665 2726388075 2835443598 2871795439 3635184100 4725739330 5452776150 5670887196 5743590878 7088608995 8615386317 9451478660 10905552300 11487181756 11814348325 14177217990 14358977195 17230772634 23628696650 28354435980 28717954390 34461545268 35443044975 37333340707 43076931585 47257393300 57435908780 70886089950 71794885975 74666681414 86153863170 112000022121 141772179900 143589771950 149333362828 172307726340 186666703535 215384657925 224000044242 287179543900 373333407070 430769315850 448000088484 560000110605 746666814140 861538631700 933333517675 1120000221210 1866667035350 2240000442420 2800000553025 3733334070700 5600001106050 11200002212100