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2106111 = 37100291
BaseRepresentation
bin1000000010001011111111
310222000001010
420002023333
51014343421
6113050303
723621160
oct10021377
93860033
102106111
111209397
12856993
13589827
143cb767
152b9076
hex2022ff

2106111 has 8 divisors (see below), whose sum is σ = 3209344. Its totient is φ = 1203480.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106111 is 1116012.

It is a happy number.

2106111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2106111 - 22 = 2106107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50125 + ... + 50166.

It is an arithmetic number, because the mean of its divisors is an integer number (401168).

22106111 is an apocalyptic number.

2106111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2106111 is a deficient number, since it is larger than the sum of its proper divisors (1103233).

2106111 is a wasteful number, since it uses less digits than its factorization.

2106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100301.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2106111 is about 1451.2446382330. The cubic root of 2106111 is about 128.1820123825.

Subtracting from 2106111 its reverse (1116012), we obtain a palindrome (990099).

The spelling of 2106111 in words is "two million, one hundred six thousand, one hundred eleven".

Divisors: 1 3 7 21 100291 300873 702037 2106111