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201288441217 = 372147033193
BaseRepresentation
bin1011101101110110111…
…0011101110110000001
3201020120010201021120111
42323131232131312001
511244214320104332
6232245353511321
720354054343253
oct2733556356601
9636503637514
10201288441217
1178403094156
1233017112541
1315c9b23ac26
149a57273cd3
15538162e947
hex2eddb9dd81

201288441217 has 6 divisors (see below), whose sum is σ = 206875703958. Its totient is φ = 195848211744.

The previous prime is 201288441209. The next prime is 201288441311. The reversal of 201288441217 is 712144882102.

It can be written as a sum of positive squares in 3 ways, for example, as 152731674481 + 48556766736 = 390809^2 + 220356^2 .

It is not a de Polignac number, because 201288441217 - 23 = 201288441209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201288441217.

It is not an unprimeable number, because it can be changed into a prime (201288441317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73515228 + ... + 73517965.

It is an arithmetic number, because the mean of its divisors is an integer number (34479283993).

Almost surely, 2201288441217 is an apocalyptic number.

It is an amenable number.

201288441217 is a deficient number, since it is larger than the sum of its proper divisors (5587262741).

201288441217 is an equidigital number, since it uses as much as digits as its factorization.

201288441217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147033267 (or 147033230 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 201288441217 in words is "two hundred one billion, two hundred eighty-eight million, four hundred forty-one thousand, two hundred seventeen".

Divisors: 1 37 1369 147033193 5440228141 201288441217