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112130208 = 2532596599
BaseRepresentation
bin1101010111011…
…11100010100000
321210222210201200
412223233202200
5212201131313
615043201200
72531043141
oct653574240
9253883650
10112130208
11583270a3
1231676200
131a2ccb48
1410c6bac8
159c9db73
hex6aef8a0

112130208 has 72 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 36737664.

The previous prime is 112130201. The next prime is 112130231. The reversal of 112130208 is 802031211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1121302082 = 25146367092246528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112130201) 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, 13693 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2112130208 is an apocalyptic number.

112130208 is a gapful number since it is divisible by the number (18) 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 112130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).

112130208 is an abundant number, since it is smaller than the sum of its proper divisors (212193792).

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

112130208 is a wasteful number, since it uses less digits than its factorization.

112130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6663 counting only the distinct ones).

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

The square root of 112130208 is about 10589.1552070975. The cubic root of 112130208 is about 482.2151779956.

Adding to 112130208 its reverse (802031211), we get a palindrome (914161419).

It can be divided in two parts, 1121 and 30208, that added together give a square (31329 = 1772).

The spelling of 112130208 in words is "one hundred twelve million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 6599 8496 13198 16992 19797 26396 39594 52792 59391 79188 105584 118782 158376 211168 237564 316752 389341 475128 633504 778682 950256 1168023 1557364 1900512 2336046 3114728 3504069 4672092 6229456 7008138 9344184 12458912 14016276 18688368 28032552 37376736 56065104 112130208