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2112123 = 313311747
BaseRepresentation
bin1000000011101001111011
310222022021210
420003221323
51020041443
6113134203
723644536
oct10035173
93868253
102112123
111212962
1285a363
1358c4a0
143cda1d
152bac33
hex203a7b

2112123 has 16 divisors (see below), whose sum is σ = 3132416. Its totient is φ = 1257120.

The previous prime is 2112107. The next prime is 2112127. The reversal of 2112123 is 3212112.

2112123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2112123 - 24 = 2112107 is a prime.

It is a super-2 number, since 2×21121232 = 8922127134258, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112099 and 2112108.

It is not an unprimeable number, because it can be changed into a prime (2112127) 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 15 ways as a sum of consecutive naturals, for example, 336 + ... + 2082.

It is an arithmetic number, because the mean of its divisors is an integer number (195776).

22112123 is an apocalyptic number.

2112123 is a deficient number, since it is larger than the sum of its proper divisors (1020293).

2112123 is a wasteful number, since it uses less digits than its factorization.

2112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794.

The product of its digits is 24, while the sum is 12.

The square root of 2112123 is about 1453.3144876454. The cubic root of 2112123 is about 128.3038638505.

Adding to 2112123 its reverse (3212112), we get a palindrome (5324235).

The spelling of 2112123 in words is "two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 13 31 39 93 403 1209 1747 5241 22711 54157 68133 162471 704041 2112123