Search a number
-
+
2010120112 = 2471113125507
BaseRepresentation
bin111011111001111…
…1111111110110000
312012002101200102001
41313303333332300
513104042320422
6531243503344
7100545511330
oct16763777660
95162350361
102010120112
11941729aa0
12481227b54
132605ab7b0
14150d710c0
15bb711227
hex77cfffb0

2010120112 has 80 divisors (see below), whose sum is σ = 5229165312. Its totient is φ = 722914560.

The previous prime is 2010120107. The next prime is 2010120139. The reversal of 2010120112 is 2110210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46738 + ... + 78769.

Almost surely, 22010120112 is an apocalyptic number.

2010120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2010120112 is an abundant number, since it is smaller than the sum of its proper divisors (3219045200).

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

2010120112 is a wasteful number, since it uses less digits than its factorization.

2010120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125546 (or 125540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2010120112 is about 44834.3630711980. The cubic root of 2010120112 is about 1262.0425659344.

Adding to 2010120112 its reverse (2110210102), we get a palindrome (4120330214).

The spelling of 2010120112 in words is "two billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 125507 251014 502028 878549 1004056 1380577 1631591 1757098 2008112 2761154 3263182 3514196 5522308 6526364 7028392 9664039 11044616 11421137 13052728 14056784 17947501 19328078 22089232 22842274 26105456 35895002 38656156 45684548 71790004 77312312 91369096 125632507 143580008 154624624 182738192 251265014 287160016 502530028 1005060056 2010120112