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111112668 = 22331576553
BaseRepresentation
bin1101001111101…
…11000111011100
321202002002221000
412213313013130
5211421101133
615005310300
72516304432
oct647670734
9252062830
10111112668
11577a1657
1231265390
131a034954
1410a84d52
159b4c413
hex69f71dc

111112668 has 48 divisors (see below), whose sum is σ = 289948960. Its totient is φ = 36796032.

The previous prime is 111112667. The next prime is 111112669. The reversal of 111112668 is 866211111.

It is an interprime number because it is at equal distance from previous prime (111112667) and next prime (111112669).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13680 + ... + 20232.

Almost surely, 2111112668 is an apocalyptic number.

111112668 is a gapful number since it is divisible by the number (18) 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 111112668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144974480).

111112668 is an abundant number, since it is smaller than the sum of its proper divisors (178836292).

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

111112668 is a wasteful number, since it uses less digits than its factorization.

111112668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6715 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 111112668 is about 10540.9993833602. Note that the first 3 decimals coincide. The cubic root of 111112668 is about 480.7521021810.

Adding to 111112668 its reverse (866211111), we get a palindrome (977323779).

The spelling of 111112668 in words is "one hundred eleven million, one hundred twelve thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 6553 8478 13106 16956 19659 26212 39318 58977 78636 117954 176931 235908 353862 707724 1028821 2057642 3086463 4115284 6172926 9259389 12345852 18518778 27778167 37037556 55556334 111112668