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288106202289 = 3195985669403
BaseRepresentation
bin1000011000101000111…
…01111100010010110001
31000112122121122111112210
410030110131330102301
514210020141433124
6340204255442333
726546353212303
oct4142435742261
91015577574483
10288106202289
11101204493014
1247a062263a9
132122599c999
14dd3168b973
15776341aa29
hex431477c4b1

288106202289 has 16 divisors (see below), whose sum is σ = 411213139200. Its totient is φ = 178877711376.

The previous prime is 288106202281. The next prime is 288106202303. The reversal of 288106202289 is 982202601882.

It is a happy number.

It is not a de Polignac number, because 288106202289 - 23 = 288106202281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288106202281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42831339 + ... + 42838064.

It is an arithmetic number, because the mean of its divisors is an integer number (25700821200).

Almost surely, 2288106202289 is an apocalyptic number.

It is an amenable number.

288106202289 is a deficient number, since it is larger than the sum of its proper divisors (123106936911).

288106202289 is a wasteful number, since it uses less digits than its factorization.

288106202289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85669484.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 288106202289 in words is "two hundred eighty-eight billion, one hundred six million, two hundred two thousand, two hundred eighty-nine".

Divisors: 1 3 19 57 59 177 1121 3363 85669403 257008209 1627718657 4883155971 5054494777 15163484331 96035400763 288106202289