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111121344 = 26321031873
BaseRepresentation
bin1101001111110…
…01001111000000
321202002112211100
412213321033000
5211421340334
615005414400
72516341635
oct647711700
9252075740
10111121344
11577a8124
123126a400
131a038899
1410a8818c
159b4ec99
hex69f93c0

111121344 has 84 divisors (see below), whose sum is σ = 321773296. Its totient is φ = 36661248.

The previous prime is 111121343. The next prime is 111121363. The reversal of 111121344 is 443121111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58392 + ... + 60264.

Almost surely, 2111121344 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 111121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160886648).

111121344 is an abundant number, since it is smaller than the sum of its proper divisors (210651952).

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

111121344 is a wasteful number, since it uses less digits than its factorization.

111121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1981 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111121344 is about 10541.4109112585. The cubic root of 111121344 is about 480.7646146957.

Adding to 111121344 its reverse (443121111), we get a palindrome (554242455).

The spelling of 111121344 in words is "one hundred eleven million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1236 1648 1854 1873 2472 3296 3708 3746 4944 5619 6592 7416 7492 9888 11238 14832 14984 16857 19776 22476 29664 29968 33714 44952 59328 59936 67428 89904 119872 134856 179808 192919 269712 359616 385838 539424 578757 771676 1078848 1157514 1543352 1736271 2315028 3086704 3472542 4630056 6173408 6945084 9260112 12346816 13890168 18520224 27780336 37040448 55560672 111121344