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2010112 = 21013151
BaseRepresentation
bin111101010110000000000
310210010100121
413222300000
51003310422
6111030024
723041246
oct7526000
93703317
102010112
111153255
1280b314
13554c20
143a4796
1529a8c7
hex1eac00

2010112 has 44 divisors (see below), whose sum is σ = 4356016. Its totient is φ = 921600.

The previous prime is 2010103. The next prime is 2010137. The reversal of 2010112 is 2110102.

Adding to 2010112 its reverse (2110102), we get a palindrome (4120214).

It is a junction number, because it is equal to n+sod(n) for n = 2010095 and 2010104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13237 + ... + 13387.

22010112 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 2010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178008).

2010112 is an abundant number, since it is smaller than the sum of its proper divisors (2345904).

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

2010112 is a wasteful number, since it uses less digits than its factorization.

2010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2010112 is about 1417.7841866800. The cubic root of 2010112 is about 126.2040868241.

The spelling of 2010112 in words is "two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 151 208 256 302 416 512 604 832 1024 1208 1664 1963 2416 3328 3926 4832 6656 7852 9664 13312 15704 19328 31408 38656 62816 77312 125632 154624 251264 502528 1005056 2010112