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2112000109 = 9728577621
BaseRepresentation
bin111110111100010…
…1001000001101101
312110012002201111021
41331320221001231
513311133000414
6545323254141
7103223463502
oct17570510155
95405081437
102112000109
11994194a3a
124ab37a351
1327872cc0b
141606d14a9
15c5637c24
hex7de2906d

2112000109 has 8 divisors (see below), whose sum is σ = 2134800248. Its totient is φ = 2089221120.

The previous prime is 2112000097. The next prime is 2112000113. The reversal of 2112000109 is 9010002112.

It can be written as a sum of positive squares in 4 ways, for example, as 826562500 + 1285437609 = 28750^2 + 35853^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112000109 - 217 = 2111869037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112000092 and 2112000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112000179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273319 + ... + 280939.

It is an arithmetic number, because the mean of its divisors is an integer number (266850031).

Almost surely, 22112000109 is an apocalyptic number.

It is an amenable number.

2112000109 is a deficient number, since it is larger than the sum of its proper divisors (22800139).

2112000109 is an equidigital number, since it uses as much as digits as its factorization.

2112000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 2112000109 is about 45956.5023582082. The cubic root of 2112000109 is about 1283.0137540704.

The spelling of 2112000109 in words is "two billion, one hundred twelve million, one hundred nine", and thus it is an aban number.

Divisors: 1 97 2857 7621 277129 739237 21773197 2112000109