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11202001112100 = 223521910119458053
BaseRepresentation
bin1010001100000010101101…
…0011000000110000100100
31110122220022201101101112210
42203000223103000300210
52432013144241041400
635454043412243420
72234214013253361
oct243005323006044
943586281341483
1011202001112100
113629818657267
12130b033610570
136334621b9816
142aa273321468
151465ca660950
hexa302b4c0c24

11202001112100 has 144 divisors (see below), whose sum is σ = 34454765378880. Its totient is φ = 2801959488000.

The previous prime is 11202001112063. The next prime is 11202001112131. The reversal of 11202001112100 is 121110020211.

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, 9153327 + ... + 10304726.

It is an arithmetic number, because the mean of its divisors is an integer number (239269204020).

Almost surely, 211202001112100 is an apocalyptic number.

11202001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202001112100 is an abundant number, since it is smaller than the sum of its proper divisors (23252764266780).

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

11202001112100 is a wasteful number, since it uses less digits than its factorization.

11202001112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458190 (or 19458183 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11202001112100 its reverse (121110020211), we get a palindrome (11323111132311).

The spelling of 11202001112100 in words is "eleven trillion, two hundred two billion, one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 150 190 202 228 285 300 303 380 404 475 505 570 606 950 1010 1140 1212 1425 1515 1900 1919 2020 2525 2850 3030 3838 5050 5700 5757 6060 7575 7676 9595 10100 11514 15150 19190 23028 28785 30300 38380 47975 57570 95950 115140 143925 191900 287850 575700 19458053 38916106 58374159 77832212 97290265 116748318 194580530 233496636 291870795 369703007 389161060 486451325 583741590 739406014 972902650 1109109021 1167483180 1459353975 1478812028 1848515035 1945805300 1965263353 2218218042 2918707950 3697030070 3930526706 4436436084 5545545105 5837415900 5895790059 7394060140 7861053412 9242575175 9826316765 11091090210 11791580118 18485150350 19652633530 22182180420 23583160236 27727725525 29478950295 36970300700 37340003707 39305267060 49131583825 55455451050 58957900590 74680007414 98263167650 110910902100 112020011121 117915801180 147394751475 149360014828 186700018535 196526335300 224040022242 294789502950 373400037070 448080044484 560100055605 589579005900 746800074140 933500092675 1120200111210 1867000185350 2240400222420 2800500278025 3734000370700 5601000556050 11202001112100