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2100041 is a prime number
BaseRepresentation
bin1000000000101101001001
310221200201022
420000231021
51014200131
6113002225
723564366
oct10005511
93850638
102100041
111204879
12853375
13586b38
143c946d
152b737b
hex200b49

2100041 has 2 divisors, whose sum is σ = 2100042. Its totient is φ = 2100040.

The previous prime is 2100031. The next prime is 2100053. The reversal of 2100041 is 1400012.

Adding to 2100041 its reverse (1400012), we get a palindrome (3500053).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1092025 + 1008016 = 1045^2 + 1004^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100041 - 210 = 2099017 is a prime.

It is a Chen prime.

2100041 is a modest number, since divided by 41 gives 21 as remainder.

It is not a weakly prime, because it can be changed into another prime (2100001) 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 as a sum of consecutive naturals, namely, 1050020 + 1050021.

It is an arithmetic number, because the mean of its divisors is an integer number (1050021).

22100041 is an apocalyptic number.

It is an amenable number.

2100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100041 is an equidigital number, since it uses as much as digits as its factorization.

2100041 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2100041 is about 1449.1518208939. The cubic root of 2100041 is about 128.0587498861.

The spelling of 2100041 in words is "two million, one hundred thousand, forty-one".