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2301201013329 = 32798936365951
BaseRepresentation
bin100001011111001010010…
…001001101101001010001
322010222210122200200021100
4201133022101031221101
5300200324424411304
64521053540015013
7325153622606121
oct41371221155121
98128718620240
102301201013329
11807a2aa86189
12311ba3691469
1313900515074a
147d543306c81
153ecd5d27439
hex217ca44da51

2301201013329 has 24 divisors (see below), whose sum is σ = 3403853107200. Its totient is φ = 1497695284800.

The previous prime is 2301201013207. The next prime is 2301201013361. The reversal of 2301201013329 is 9233101021032.

2301201013329 is a `hidden beast` number, since 2 + 301 + 20 + 1 + 0 + 1 + 332 + 9 = 666.

It is not a de Polignac number, because 2301201013329 - 213 = 2301201005137 is a prime.

It is a super-2 number, since 2×23012010133292 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2301201013829) 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 23 ways as a sum of consecutive naturals, for example, 18119697 + ... + 18246254.

It is an arithmetic number, because the mean of its divisors is an integer number (141827212800).

Almost surely, 22301201013329 is an apocalyptic number.

It is an amenable number.

2301201013329 is a deficient number, since it is larger than the sum of its proper divisors (1102652093871).

2301201013329 is a wasteful number, since it uses less digits than its factorization.

2301201013329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36366125 (or 36366122 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 2301201013329 in words is "two trillion, three hundred one billion, two hundred one million, thirteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 79 89 237 267 711 801 7031 21093 63279 36365951 109097853 327293559 2872910129 3236569639 8618730387 9709708917 25856191161 29129126751 255689001481 767067004443 2301201013329