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288203121 = 3232022569
BaseRepresentation
bin10001001011011…
…010000101110001
3202002022020100200
4101023122011301
51042234444441
644333105413
710066454223
oct2113320561
9662266320
10288203121
111387572a8
1280628269
134792a3bb
142a3c2413
151a47d7b6
hex112da171

288203121 has 6 divisors (see below), whose sum is σ = 416293410. Its totient is φ = 192135408.

The previous prime is 288203117. The next prime is 288203137. The reversal of 288203121 is 121302882.

It can be written as a sum of positive squares in only one way, i.e., 240095025 + 48108096 = 15495^2 + 6936^2 .

It is not a de Polignac number, because 288203121 - 22 = 288203117 is a prime.

It is a super-2 number, since 2×2882031212 = 166122077908281282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288203161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16011276 + ... + 16011293.

It is an arithmetic number, because the mean of its divisors is an integer number (69382235).

Almost surely, 2288203121 is an apocalyptic number.

It is an amenable number.

288203121 is a deficient number, since it is larger than the sum of its proper divisors (128090289).

288203121 is a wasteful number, since it uses less digits than its factorization.

288203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32022575 (or 32022572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 288203121 is about 16976.5462035127. The cubic root of 288203121 is about 660.5406657862.

The spelling of 288203121 in words is "two hundred eighty-eight million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 32022569 96067707 288203121