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112110208 = 277211593
BaseRepresentation
bin1101010111010…
…10101010000000
321210221210021221
412223222222000
5212200011313
615042524424
72530630630
oct653525200
9253853257
10112110208
1158313071
1231666714
131a2c3a02
1410c646c0
159c97c8d
hex6aeaa80

112110208 has 64 divisors (see below), whose sum is σ = 256893120. Its totient is φ = 47738880.

The previous prime is 112110197. The next prime is 112110221. The reversal of 112110208 is 802011211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112110191 and 112110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188760 + ... + 189352.

It is an arithmetic number, because the mean of its divisors is an integer number (4013955).

Almost surely, 2112110208 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 112110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128446560).

112110208 is an abundant number, since it is smaller than the sum of its proper divisors (144782912).

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

112110208 is an equidigital number, since it uses as much as digits as its factorization.

112110208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 112110208 is about 10588.2108025861. The cubic root of 112110208 is about 482.1865063374.

Adding to 112110208 its reverse (802011211), we get a palindrome (914121419).

The spelling of 112110208 in words is "one hundred twelve million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 422 448 593 844 896 1186 1477 1688 2372 2954 3376 4151 4744 5908 6752 8302 9488 11816 13504 16604 18976 23632 27008 33208 37952 47264 66416 75904 94528 125123 132832 189056 250246 265664 500492 531328 875861 1000984 1751722 2001968 3503444 4003936 7006888 8007872 14013776 16015744 28027552 56055104 112110208