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111130112 = 29239437
BaseRepresentation
bin1101001111110…
…11011000000000
321202002222212002
412213323120000
5211422130422
615005523132
72516406332
oct647733000
9252088762
10111130112
1157803775
12312734a8
131a03c882
1410a8b452
159b52692
hex69fb600

111130112 has 40 divisors (see below), whose sum is σ = 231721776. Its totient is φ = 53143552.

The previous prime is 111130079. The next prime is 111130121. The reversal of 111130112 is 211031111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111130093 and 111130102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7058 + ... + 16494.

Almost surely, 2111130112 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 111130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115860888).

111130112 is an abundant number, since it is smaller than the sum of its proper divisors (120591664).

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

111130112 is an frugal number, since it uses more digits than its factorization.

111130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 111130112 is about 10541.8267866627. The cubic root of 111130112 is about 480.7772592310. Note that the first 3 decimals are identical.

Adding to 111130112 its reverse (211031111), we get a palindrome (322161223).

Subtracting 111130112 from its reverse (211031111), we obtain a palindrome (99900999).

The spelling of 111130112 in words is "one hundred eleven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 9437 11776 18874 37748 75496 150992 217051 301984 434102 603968 868204 1207936 1736408 2415872 3472816 4831744 6945632 13891264 27782528 55565056 111130112