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2111411441 = 171131099121
BaseRepresentation
bin111110111011001…
…1001010011110001
312110010222210222202
41331312121103301
513311010131231
6545302512545
7103215462326
oct17566312361
95403883882
102111411441
11993922737
124ab135755
13278584ca9
141605bab4d
15c556d5cb
hex7dd994f1

2111411441 has 8 divisors (see below), whose sum is σ = 2255398344. Its totient is φ = 1969623040.

The previous prime is 2111411369. The next prime is 2111411443. The reversal of 2111411441 is 1441141112.

It can be written as a sum of positive squares in 4 ways, for example, as 438274225 + 1673137216 = 20935^2 + 40904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2111411441 - 214 = 2111395057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111411443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547640 + ... + 551481.

It is an arithmetic number, because the mean of its divisors is an integer number (281924793).

Almost surely, 22111411441 is an apocalyptic number.

It is an amenable number.

2111411441 is a deficient number, since it is larger than the sum of its proper divisors (143986903).

2111411441 is a wasteful number, since it uses less digits than its factorization.

2111411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099251.

The product of its digits is 128, while the sum is 20.

The square root of 2111411441 is about 45950.0972904302. The cubic root of 2111411441 is about 1282.8945401683.

Adding to 2111411441 its reverse (1441141112), we get a palindrome (3552552553).

The spelling of 2111411441 in words is "two billion, one hundred eleven million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 17 113 1921 1099121 18685057 124200673 2111411441