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2100191 is a prime number
BaseRepresentation
bin1000000000101111011111
310221200220212
420000233133
51014201231
6113003035
723565002
oct10005737
93850825
102100191
1112049a5
1285347b
13586c22
143c9539
152b742b
hex200bdf

2100191 has 2 divisors, whose sum is σ = 2100192. Its totient is φ = 2100190.

The previous prime is 2100181. The next prime is 2100193. The reversal of 2100191 is 1910012.

2100191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100191 - 218 = 1838047 is a prime.

Together with 2100193, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100193) 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 as a sum of consecutive naturals, namely, 1050095 + 1050096.

It is an arithmetic number, because the mean of its divisors is an integer number (1050096).

22100191 is an apocalyptic number.

2100191 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100191 is an equidigital number, since it uses as much as digits as its factorization.

2100191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2100191 is about 1449.2035743815. The cubic root of 2100191 is about 128.0617987719.

The spelling of 2100191 in words is "two million, one hundred thousand, one hundred ninety-one".