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110223110112 = 2533752159561
BaseRepresentation
bin110011010100111001…
…1110010111111100000
3101112111122020010220120
41212221303302333200
53301214104010422
6122345155440240
710651300656153
oct1465163627740
9345448203816
10110223110112
1142822088035
12194415b6080
13a5177b611b
145498a9dc9a
152d019b945c
hex19a9cf2fe0

110223110112 has 96 divisors (see below), whose sum is σ = 297730901664. Its totient is φ = 35678822400.

The previous prime is 110223110111. The next prime is 110223110143. The reversal of 110223110112 is 211011322011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 110223110091 and 110223110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110223110111) 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, 1820812 + ... + 1880372.

It is an arithmetic number, because the mean of its divisors is an integer number (3101363559).

Almost surely, 2110223110112 is an apocalyptic number.

110223110112 is a gapful number since it is divisible by the number (12) 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 110223110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148865450832).

110223110112 is an abundant number, since it is smaller than the sum of its proper divisors (187507791552).

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

110223110112 is a wasteful number, since it uses less digits than its factorization.

110223110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60132 (or 60124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110223110112 its reverse (211011322011), we get a palindrome (321234432123).

The spelling of 110223110112 in words is "one hundred ten billion, two hundred twenty-three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 521 592 888 1042 1184 1563 1776 2084 3126 3552 4168 6252 8336 12504 16672 19277 25008 38554 50016 57831 59561 77108 115662 119122 154216 178683 231324 238244 308432 357366 462648 476488 616864 714732 925296 952976 1429464 1850592 1905952 2203757 2858928 4407514 5717856 6611271 8815028 13222542 17630056 26445084 31031281 35260112 52890168 62062562 70520224 93093843 105780336 124125124 186187686 211560672 248250248 372375372 496500496 744750744 993000992 1148157397 1489501488 2296314794 2979002976 3444472191 4592629588 6888944382 9185259176 13777888764 18370518352 27555777528 36741036704 55111555056 110223110112