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110101121001220 = 22519350775618201
BaseRepresentation
bin11001000010001011101010…
…001101001110011100000100
3112102211120020102112212221111
4121002023222031032130010
5103412344043434014340
61030055431241454404
732122354263040306
oct3102135215163404
9472746212485844
10110101121001220
1132099694525088
12104224027a1404
13495865010591b
141d28ccbc09976
15cadeb2080aea
hex6422ea34e704

110101121001220 has 48 divisors (see below), whose sum is σ = 232456164051888. Its totient is φ = 43803622195200.

The previous prime is 110101121001169. The next prime is 110101121001227. The reversal of 110101121001220 is 22100121101011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 385886955204 + 109715234046016 = 621198^2 + 10474504^2 .

It is a super-3 number, since 3×1101011210012203 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110101121001220.

It is not an unprimeable number, because it can be changed into a prime (110101121001227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16788120 + ... + 22406320.

It is an arithmetic number, because the mean of its divisors is an integer number (4842836751081).

Almost surely, 2110101121001220 is an apocalyptic number.

110101121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101121001220 is an abundant number, since it is smaller than the sum of its proper divisors (122355043050668).

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

110101121001220 is a wasteful number, since it uses less digits than its factorization.

110101121001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623480 (or 5623478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110101121001220 its reverse (22100121101011), we get a palindrome (132201242102231).

The spelling of 110101121001220 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 5077 10154 20308 25385 50770 101540 979861 1959722 3919444 4899305 5618201 9798610 11236402 19597220 22472804 28091005 56182010 112364020 1084312793 2168625586 4337251172 5421563965 10843127930 21686255860 28523606477 57047212954 114094425908 142618032385 285236064770 570472129540 5505056050061 11010112100122 22020224200244 27525280250305 55050560500610 110101121001220