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111112760668 = 227132836071777
BaseRepresentation
bin110011101111011010…
…1100010110101011100
3101121210122021002001011
41213132311202311130
53310024331320133
6123013340025004
711012322611440
oct1473665426534
9347718232034
10111112760668
1143139290728
121964b532164
13a629bc7b80
145540cc4820
152d54b4e6cd
hex19ded62d5c

111112760668 has 96 divisors (see below), whose sum is σ = 240696479744. Its totient is φ = 43704603648.

The previous prime is 111112760663. The next prime is 111112760683. The reversal of 111112760668 is 866067211111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111112760668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112760663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62527396 + ... + 62529172.

Almost surely, 2111112760668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112760668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120348239872).

111112760668 is an abundant number, since it is smaller than the sum of its proper divisors (129583719076).

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

111112760668 is a wasteful number, since it uses less digits than its factorization.

111112760668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

Adding to 111112760668 its reverse (866067211111), we get a palindrome (977179971779).

The spelling of 111112760668 in words is "one hundred eleven billion, one hundred twelve million, seven hundred sixty thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 283 364 566 607 1132 1214 1777 1981 2428 3554 3679 3962 4249 7108 7358 7891 7924 8498 12439 14716 15782 16996 23101 24878 25753 31564 46202 49756 51506 55237 92404 103012 110474 161707 171781 220948 323414 343562 502891 646828 687124 1005782 1078639 1202467 2011564 2157278 2233153 2404934 3520237 4314556 4466306 4809868 6537583 7040474 7550473 8932612 13075166 14022307 14080948 15100946 15632071 26150332 28044614 30201892 31264142 45763081 56089228 62528284 91526162 98156149 183052324 196312298 305254837 392624596 610509674 1221019348 2136783859 3968312881 4273567718 7936625762 8547135436 15873251524 27778190167 55556380334 111112760668