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110112322303120 = 2457011963486489
BaseRepresentation
bin11001000010010110000101…
…110110110011010010010000
3112102212122011001202222110211
4121002112011312303102100
5103413040014002144440
61030104522540333504
732123231665402204
oct3102260566632220
9472778131688424
10110112322303120
11320a3412354a85
1210424609b44294
134959716952007
141d2967171ab04
15cae41a634eea
hex642585db3490

110112322303120 has 40 divisors (see below), whose sum is σ = 256376357972280. Its totient is φ = 43982097331200.

The previous prime is 110112322303099. The next prime is 110112322303169. The reversal of 110112322303120 is 21303223211011.

It can be written as a sum of positive squares in 4 ways, for example, as 8354504653056 + 101757817650064 = 2890416^2 + 10087508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 110112322303091 and 110112322303100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981687165 + ... + 981799324.

It is an arithmetic number, because the mean of its divisors is an integer number (6409408949307).

Almost surely, 2110112322303120 is an apocalyptic number.

110112322303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112322303120 is an abundant number, since it is smaller than the sum of its proper divisors (146264035669160).

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

110112322303120 is a wasteful number, since it uses less digits than its factorization.

110112322303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963487203 (or 1963487197 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 110112322303120 its reverse (21303223211011), we get a palindrome (131415545514131).

The spelling of 110112322303120 in words is "one hundred ten trillion, one hundred twelve billion, three hundred twenty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 701 1402 2804 3505 5608 7010 11216 14020 28040 56080 1963486489 3926972978 7853945956 9817432445 15707891912 19634864890 31415783824 39269729780 78539459560 157078919120 1376404028789 2752808057578 5505616115156 6882020143945 11011232230312 13764040287890 22022464460624 27528080575780 55056161151560 110112322303120