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2142149 is a prime number
BaseRepresentation
bin1000001010111111000101
311000211110212
420022333011
51022022044
6113525205
724131222
oct10127705
94024425
102142149
111233479
12873805
135a0059
143da949
152c4a9e
hex20afc5

2142149 has 2 divisors, whose sum is σ = 2142150. Its totient is φ = 2142148.

The previous prime is 2142121. The next prime is 2142163. The reversal of 2142149 is 9412412.

2142149 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 can be written as a sum of positive squares in only one way, i.e., 1677025 + 465124 = 1295^2 + 682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2142149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p158711 and since 2142149 and 158711 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142169) 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, 1071074 + 1071075.

It is an arithmetic number, because the mean of its divisors is an integer number (1071075).

22142149 is an apocalyptic number.

It is an amenable number.

2142149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142149 is an equidigital number, since it uses as much as digits as its factorization.

2142149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 2142149 is about 1463.6082126034. The cubic root of 2142149 is about 128.9089957677.

The spelling of 2142149 in words is "two million, one hundred forty-two thousand, one hundred forty-nine".