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2112000020 = 225138123077
BaseRepresentation
bin111110111100010…
…1001000000010100
312110012002201100222
41331320221000110
513311133000040
6545323253512
7103223463314
oct17570510024
95405081328
102112000020
11994194969
124ab37a298
1327872cb70
141606d1444
15c5637bb5
hex7de29014

2112000020 has 24 divisors (see below), whose sum is σ = 4776369864. Its totient is φ = 779815296.

The previous prime is 2112000019. The next prime is 2112000029. The reversal of 2112000020 is 200002112.

It can be written as a sum of positive squares in 4 ways, for example, as 5924356 + 2106075664 = 2434^2 + 45892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2111999971 and 2112000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112000029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4061279 + ... + 4061798.

It is an arithmetic number, because the mean of its divisors is an integer number (199015411).

Almost surely, 22112000020 is an apocalyptic number.

2112000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112000020 is an abundant number, since it is smaller than the sum of its proper divisors (2664369844).

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

2112000020 is a wasteful number, since it uses less digits than its factorization.

2112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123099 (or 8123097 counting only the distinct ones).

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

The square root of 2112000020 is about 45956.5013899013. The cubic root of 2112000020 is about 1283.0137360482.

Adding to 2112000020 its reverse (200002112), we get a palindrome (2312002132).

The spelling of 2112000020 in words is "two billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8123077 16246154 32492308 40615385 81230770 105600001 162461540 211200002 422400004 528000005 1056000010 2112000020