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110110110012 = 223271994124439
BaseRepresentation
bin110011010001100010…
…0101111000100111100
3101112012202121010220200
41212203010233010330
53301001142010022
6122330041443500
710645426330620
oct1464304570474
9345182533820
10110110110012
1142774317421
121940b7a0590
13a4ca270366
145487a87180
152ce6ae7bac
hex19a312f13c

110110110012 has 144 divisors (see below), whose sum is σ = 335207308800. Its totient is φ = 29771349120.

The previous prime is 110110110007. The next prime is 110110110037. The reversal of 110110110012 is 210011011011.

110110110012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110110109976 and 110110110003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4493289 + ... + 4517727.

Almost surely, 2110110110012 is an apocalyptic number.

110110110012 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 110110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167603654400).

110110110012 is an abundant number, since it is smaller than the sum of its proper divisors (225097198788).

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

110110110012 is a wasteful number, since it uses less digits than its factorization.

110110110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25416 (or 25411 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110110110012 its reverse (210011011011), we get a palindrome (320121121023).

Subtracting 110110110012 from its reverse (210011011011), we obtain a palindrome (99900900999).

The spelling of 110110110012 in words is "one hundred ten billion, one hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 941 1197 1596 1882 2394 2823 3764 4788 5646 6587 8469 11292 13174 16938 17879 19761 24439 26348 33876 35758 39522 48878 53637 59283 71516 73317 79044 97756 107274 118566 125153 146634 160911 171073 214548 219951 237132 250306 293268 321822 342146 375459 439902 464341 500612 513219 643644 684292 750918 879804 928682 1026438 1126377 1393023 1501836 1539657 1857364 2052876 2252754 2786046 3079314 3250387 4179069 4505508 5572092 6158628 6500774 8358138 9751161 13001548 16716276 19502322 22997099 29253483 39004644 45994198 58506966 68991297 91988396 117013932 137982594 160979693 206973891 275965188 321959386 413947782 436944881 482939079 643918772 827895564 873889762 965878158 1310834643 1448817237 1747779524 1931756316 2621669286 2897634474 3058614167 3932503929 5243338572 5795268948 6117228334 7865007858 9175842501 12234456668 15730015716 18351685002 27527527503 36703370004 55055055006 110110110012