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9822530341 = 133742014861
BaseRepresentation
bin10010010010111011…
…11110101100100101
3221100112211020112001
421021131332230211
5130104031432331
64302402525301
7465261062461
oct111135765445
927315736461
109822530341
114190620478
121aa1666831
13c06cc1240
146927674a1
153c7504561
hex24977eb25

9822530341 has 16 divisors (see below), whose sum is σ = 10868825968. Its totient is φ = 8817984000.

The previous prime is 9822530299. The next prime is 9822530363. The reversal of 9822530341 is 1430352289.

It can be written as a sum of positive squares in 8 ways, for example, as 729316 + 9821801025 = 854^2 + 99105^2 .

It is a 5-Lehmer number, since φ(9822530341) divides (9822530341-1)5.

It is a cyclic number.

It is not a de Polignac number, because 9822530341 - 217 = 9822399269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 9822530341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9822530941) 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 15 ways as a sum of consecutive naturals, for example, 2018251 + ... + 2023111.

It is an arithmetic number, because the mean of its divisors is an integer number (679301623).

Almost surely, 29822530341 is an apocalyptic number.

It is an amenable number.

9822530341 is a deficient number, since it is larger than the sum of its proper divisors (1046295627).

9822530341 is a wasteful number, since it uses less digits than its factorization.

9822530341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 9822530341 is about 99108.6794433263. The cubic root of 9822530341 is about 2141.6136503893.

The spelling of 9822530341 in words is "nine billion, eight hundred twenty-two million, five hundred thirty thousand, three hundred forty-one".

Divisors: 1 13 37 481 4201 4861 54613 63193 155437 179857 2020681 2338141 20421061 265473793 755579257 9822530341