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2100114 = 23338891
BaseRepresentation
bin1000000000101110010010
310221200211000
420000232102
51014200424
6113002430
723564532
oct10005622
93850730
102100114
111204935
12853416
13586b93
143c94c2
152b73c9
hex200b92

2100114 has 16 divisors (see below), whose sum is σ = 4667040. Its totient is φ = 700020.

The previous prime is 2100113. The next prime is 2100121. The reversal of 2100114 is 4110012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100096 and 2100105.

It is not an unprimeable number, because it can be changed into a prime (2100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19392 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (291690).

22100114 is an apocalyptic number.

2100114 is an abundant number, since it is smaller than the sum of its proper divisors (2566926).

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

2100114 is a wasteful number, since it uses less digits than its factorization.

2100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38902 (or 38896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100114 is about 1449.1770078220. The cubic root of 2100114 is about 128.0602336953.

Adding to 2100114 its reverse (4110012), we get a palindrome (6210126).

The spelling of 2100114 in words is "two million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 38891 77782 116673 233346 350019 700038 1050057 2100114