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288268129 is a prime number
BaseRepresentation
bin10001001011101…
…001111101100001
3202002102112112101
4101023221331201
51042244040004
644334330401
710100144602
oct2113517541
9662375471
10288268129
111387a1126
1280659a01
1347950b76
142a3dbda9
151a492ba4
hex112e9f61

288268129 has 2 divisors, whose sum is σ = 288268130. Its totient is φ = 288268128.

The previous prime is 288268111. The next prime is 288268187. The reversal of 288268129 is 921862882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277555600 + 10712529 = 16660^2 + 3273^2 .

It is a cyclic number.

It is not a de Polignac number, because 288268129 - 215 = 288235361 is a prime.

It is not a weakly prime, because it can be changed into another prime (288268199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144134064 + 144134065.

It is an arithmetic number, because the mean of its divisors is an integer number (144134065).

Almost surely, 2288268129 is an apocalyptic number.

It is an amenable number.

288268129 is a deficient number, since it is larger than the sum of its proper divisors (1).

288268129 is an equidigital number, since it uses as much as digits as its factorization.

288268129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 221184, while the sum is 46.

The square root of 288268129 is about 16978.4607370633. The cubic root of 288268129 is about 660.5903265940.

The spelling of 288268129 in words is "two hundred eighty-eight million, two hundred sixty-eight thousand, one hundred twenty-nine".