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111200112 = 24323312333
BaseRepresentation
bin1101010000011…
…00011101110000
321202020112212200
412220030131300
5211431400422
615011223200
72520120402
oct650143560
9252215780
10111200112
1157851321
12312a7b00
131a0656aa
1410aa8b72
159b682ac
hex6a0c770

111200112 has 60 divisors (see below), whose sum is σ = 312279864. Its totient is φ = 36938880.

The previous prime is 111200083. The next prime is 111200137. The reversal of 111200112 is 211002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111200094 and 111200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46498 + ... + 48830.

Almost surely, 2111200112 is an apocalyptic number.

111200112 is a gapful number since it is divisible by the number (12) 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 111200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156139932).

111200112 is an abundant number, since it is smaller than the sum of its proper divisors (201079752).

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

111200112 is a wasteful number, since it uses less digits than its factorization.

111200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111200112 is about 10545.1463716726. The cubic root of 111200112 is about 480.8781840053.

Adding to 111200112 its reverse (211002111), we get a palindrome (322202223).

The spelling of 111200112 in words is "one hundred eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2333 2648 2979 3972 4666 5296 5958 6999 7944 9332 11916 13998 15888 18664 20997 23832 27996 37328 41994 47664 55992 83988 111984 167976 335952 772223 1544446 2316669 3088892 4633338 6177784 6950007 9266676 12355568 13900014 18533352 27800028 37066704 55600056 111200112