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12100181 is a prime number
BaseRepresentation
bin101110001010…
…001001010101
3211202202022212
4232022021111
511044201211
61111203205
7204564332
oct56121125
924682285
1012100181
116915055
124076505
132678792
14186d989
1510e038b
hexb8a255

12100181 has 2 divisors, whose sum is σ = 12100182. Its totient is φ = 12100180.

The previous prime is 12100177. The next prime is 12100183. The reversal of 12100181 is 18100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12013156 + 87025 = 3466^2 + 295^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100181 - 22 = 12100177 is a prime.

It is a super-2 number, since 2×121001812 = 292828760465522, which contains 22 as substring.

Together with 12100183, 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 (12100183) 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, 6050090 + 6050091.

It is an arithmetic number, because the mean of its divisors is an integer number (6050091).

Almost surely, 212100181 is an apocalyptic number.

It is an amenable number.

12100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100181 is an equidigital number, since it uses as much as digits as its factorization.

12100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 12100181 is about 3478.5314430087. The cubic root of 12100181 is about 229.5781871838.

The spelling of 12100181 in words is "twelve million, one hundred thousand, one hundred eighty-one".