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110101112220 = 223511198779993
BaseRepresentation
bin110011010001010001…
…0011010010110011100
3101112012010200000021010
41212202202122112130
53300441341042340
6122325120535220
710645260004161
oct1464242322634
9345163600233
10110101112220
114276a231230
1219408781510
13a4c843ca18
1454867c4068
152ce5e1bb80
hex19a289a59c

110101112220 has 96 divisors (see below), whose sum is σ = 354009358080. Its totient is φ = 25286376960.

The previous prime is 110101112203. The next prime is 110101112227. The reversal of 110101112220 is 22211101011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110101112196 and 110101112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377457 + ... + 4402536.

It is an arithmetic number, because the mean of its divisors is an integer number (3687597480).

Almost surely, 2110101112220 is an apocalyptic number.

110101112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101112220 is an abundant number, since it is smaller than the sum of its proper divisors (243908245860).

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

110101112220 is a wasteful number, since it uses less digits than its factorization.

110101112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780035 (or 8780033 counting only the distinct ones).

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

Adding to 110101112220 its reverse (22211101011), we get a palindrome (132312213231).

The spelling of 110101112220 in words is "one hundred ten billion, one hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 8779993 17559986 26339979 35119972 43899965 52679958 87799930 96579923 105359916 131699895 166819867 175599860 193159846 263399790 289739769 333639734 386319692 482899615 500459601 526799580 579479538 667279468 834099335 965799230 1000919202 1158959076 1448698845 1668198670 1835018537 1931598460 2001838404 2502298005 2897397690 3336397340 3670037074 5004596010 5505055611 5794795380 7340074148 9175092685 10009192020 11010111222 18350185370 22020222444 27525278055 36700370740 55050556110 110101112220