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11022212001100 = 225229792608999
BaseRepresentation
bin1010000001100100111100…
…0001111110110101001100
31110000201020220110020121211
42200121033001332311030
52421041442233013400
635235311223504204
72215220455112116
oct240311701766514
943021226406554
1011022212001100
11356a548365113
1212a02185b8064
1361c50c172981
142a16995403b6
15141aa6712dba
hexa064f07ed4c

11022212001100 has 108 divisors (see below), whose sum is σ = 25060173390000. Its totient is φ = 4202963157120.

The previous prime is 11022212001083. The next prime is 11022212001131. The reversal of 11022212001100 is 110021222011.

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, 17794401 + ... + 18403399.

It is an arithmetic number, because the mean of its divisors is an integer number (232038642500).

Almost surely, 211022212001100 is an apocalyptic number.

11022212001100 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 11022212001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530086695000).

11022212001100 is an abundant number, since it is smaller than the sum of its proper divisors (14037961388900).

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

11022212001100 is a wasteful number, since it uses less digits than its factorization.

11022212001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609200 (or 609114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11022212001100 its reverse (110021222011), we get a palindrome (11132233223111).

The spelling of 11022212001100 in words is "eleven trillion, twenty-two billion, two hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1450 1580 1975 2291 2900 3950 4582 6241 7900 9164 11455 12482 22910 24964 31205 45820 57275 62410 114550 124820 156025 180989 229100 312050 361978 608999 624100 723956 904945 1217998 1809890 2435996 3044995 3619780 4524725 6089990 9049450 12179980 15224975 17660971 18098900 30449950 35321942 48110921 60899900 70643884 88304855 96221842 176609710 192443684 240554605 353219420 441524275 481109210 883048550 962218420 1202773025 1395216709 1766097100 2405546050 2790433418 3800762759 4811092100 5580866836 6976083545 7601525518 13952167090 15203051036 19003813795 27904334180 34880417725 38007627590 69760835450 76015255180 95019068975 110222120011 139521670900 190038137950 220444240022 380076275900 440888480044 551110600055 1102221200110 2204442400220 2755553000275 5511106000550 11022212001100