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2100113 is a prime number
BaseRepresentation
bin1000000000101110010001
310221200210222
420000232101
51014200423
6113002425
723564531
oct10005621
93850728
102100113
111204934
12853415
13586b92
143c94c1
152b73c8
hex200b91

2100113 has 2 divisors, whose sum is σ = 2100114. Its totient is φ = 2100112.

The previous prime is 2100097. The next prime is 2100121. The reversal of 2100113 is 3110012.

It is an a-pointer prime, because the next prime (2100121) can be obtained adding 2100113 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 117649 = 1408^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100113 - 24 = 2100097 is a prime.

It is a super-2 number, since 2×21001132 = 8820949225538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100113.

It is not a weakly prime, because it can be changed into another prime (2100173) 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, 1050056 + 1050057.

It is an arithmetic number, because the mean of its divisors is an integer number (1050057).

22100113 is an apocalyptic number.

It is an amenable number.

2100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100113 is an equidigital number, since it uses as much as digits as its factorization.

2100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2100113 is about 1449.1766627986. The cubic root of 2100113 is about 128.0602133694.

Adding to 2100113 its reverse (3110012), we get a palindrome (5210125).

The spelling of 2100113 in words is "two million, one hundred thousand, one hundred thirteen".