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112003300 = 22521497517
BaseRepresentation
bin1101010110100…
…00100011100100
321210202100122101
412223100203210
5212133101200
615040341444
72530004143
oct653204344
9253670571
10112003300
115824a812
1231614884
131a287156
1410c3775a
159c7626a
hex6ad08e4

112003300 has 36 divisors (see below), whose sum is σ = 244710900. Its totient is φ = 44494720.

The previous prime is 112003289. The next prime is 112003301. The reversal of 112003300 is 3300211.

It can be written as a sum of positive squares in 6 ways, for example, as 996004 + 111007296 = 998^2 + 10536^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112003301) 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, 11142 + ... + 18658.

It is an arithmetic number, because the mean of its divisors is an integer number (6797525).

Almost surely, 2112003300 is an apocalyptic number.

112003300 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 112003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122355450).

112003300 is an abundant number, since it is smaller than the sum of its proper divisors (132707600).

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

112003300 is a wasteful number, since it uses less digits than its factorization.

112003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 112003300 is about 10583.1611534550. The cubic root of 112003300 is about 482.0331869966.

Adding to 112003300 its reverse (3300211), we get a palindrome (115303511).

The spelling of 112003300 in words is "one hundred twelve million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 7517 14900 15034 30068 37585 75170 150340 187925 375850 751700 1120033 2240066 4480132 5600165 11200330 22400660 28000825 56001650 112003300