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112030000 = 245417659
BaseRepresentation
bin1101010110101…
…11000100110000
321210210201021021
412223113010300
5212134430000
615041105224
72530145035
oct653270460
9253721237
10112030000
1158268885
1231628214
131a296354
1410c4338c
159c7e11a
hex6ad7130

112030000 has 100 divisors (see below), whose sum is σ = 287626680. Its totient is φ = 42112000.

The previous prime is 112029959. The next prime is 112030003. The reversal of 112030000 is 30211.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (112030003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 169671 + ... + 170329.

Almost surely, 2112030000 is an apocalyptic number.

112030000 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 112030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143813340).

112030000 is an abundant number, since it is smaller than the sum of its proper divisors (175596680).

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

112030000 is an equidigital number, since it uses as much as digits as its factorization.

112030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 112030000 is about 10584.4225161319. The cubic root of 112030000 is about 482.0714872476.

Adding to 112030000 its reverse (30211), we get a palindrome (112060211).

The spelling of 112030000 in words is "one hundred twelve million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 659 680 850 1000 1250 1318 1360 1700 2000 2125 2500 2636 3295 3400 4250 5000 5272 6590 6800 8500 10000 10544 10625 11203 13180 16475 17000 21250 22406 26360 32950 34000 42500 44812 52720 56015 65900 82375 85000 89624 112030 131800 164750 170000 179248 224060 263600 280075 329500 411875 448120 560150 659000 823750 896240 1120300 1318000 1400375 1647500 2240600 2800750 3295000 4481200 5601500 6590000 7001875 11203000 14003750 22406000 28007500 56015000 112030000