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111130000 = 245411113
BaseRepresentation
bin1101001111110…
…11010110010000
321202002222200221
412213323112100
5211422130000
615005522424
72516406112
oct647732620
9252088627
10111130000
1157803683
1231273414
131a03c7c7
1410a8b3b2
159b5261a
hex69fb590

111130000 has 50 divisors (see below), whose sum is σ = 269081054. Its totient is φ = 44448000.

The previous prime is 111129989. The next prime is 111130013. The reversal of 111130000 is 31111.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 82228624 + 28901376 = 9068^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4444 + ... + 15556.

Almost surely, 2111130000 is an apocalyptic number.

111130000 is a gapful number since it is divisible by the number (10) 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 111130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134540527).

111130000 is an abundant number, since it is smaller than the sum of its proper divisors (157951054).

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

111130000 is an equidigital number, since it uses as much as digits as its factorization.

111130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 111130000 is about 10541.8214744891. The cubic root of 111130000 is about 480.7770977174. Note that the first 3 decimals are identical.

Adding to 111130000 its reverse (31111), we get a palindrome (111161111).

The spelling of 111130000 in words is "one hundred eleven million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11113 22226 44452 55565 88904 111130 177808 222260 277825 444520 555650 889040 1111300 1389125 2222600 2778250 4445200 5556500 6945625 11113000 13891250 22226000 27782500 55565000 111130000