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2142124289 is a prime number
BaseRepresentation
bin111111110101110…
…0011100100000001
312112021210012002122
41333223203210001
513341340434124
6552321054025
7104040520214
oct17753434401
95467705078
102142124289
119aa19a758
124b9487315
13281a49586
141646d377b
15c80d875e
hex7fae3901

2142124289 has 2 divisors, whose sum is σ = 2142124290. Its totient is φ = 2142124288.

The previous prime is 2142124261. The next prime is 2142124301. The reversal of 2142124289 is 9824212412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1252593664 + 889530625 = 35392^2 + 29825^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142124289 - 228 = 1873688833 is a prime.

It is not a weakly prime, because it can be changed into another prime (2142127289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071062144 + 1071062145.

It is an arithmetic number, because the mean of its divisors is an integer number (1071062145).

Almost surely, 22142124289 is an apocalyptic number.

It is an amenable number.

2142124289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142124289 is an equidigital number, since it uses as much as digits as its factorization.

2142124289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 35.

The square root of 2142124289 is about 46283.0885853570. The cubic root of 2142124289 is about 1289.0850008436.

The spelling of 2142124289 in words is "two billion, one hundred forty-two million, one hundred twenty-four thousand, two hundred eighty-nine".