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13032030322233 = 321328568067273
BaseRepresentation
bin1011110110100100000110…
…0010011011111000111001
31201010211221121012111011100
42331221001202123320321
53202004044230302413
643414455421322013
72513350601012136
oct275510142337071
951124847174140
1013032030322233
11417494241098a
121565840706309
13736bb8883400
14330a79d7d58d
15178ed6662a73
hexbda4189be39

13032030322233 has 18 divisors (see below), whose sum is σ = 20383432044846. Its totient is φ = 8019710966592.

The previous prime is 13032030322229. The next prime is 13032030322237. The reversal of 13032030322233 is 33222303023031.

13032030322233 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 303 + 2 + 2 + 2 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (13032030322229) and next prime (13032030322237).

It can be written as a sum of positive squares in 3 ways, for example, as 340966069929 + 12691064252304 = 583923^2 + 3562452^2 .

It is not a de Polignac number, because 13032030322233 - 22 = 13032030322229 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13032030322197 and 13032030322206.

It is not an unprimeable number, because it can be changed into a prime (13032030322237) 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 17 ways as a sum of consecutive naturals, for example, 4284032116 + ... + 4284035157.

Almost surely, 213032030322233 is an apocalyptic number.

13032030322233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13032030322233 is a deficient number, since it is larger than the sum of its proper divisors (7351401722613).

13032030322233 is a wasteful number, since it uses less digits than its factorization.

13032030322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568067305 (or 8568067289 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13032030322233 its reverse (33222303023031), we get a palindrome (46254333345264).

The spelling of 13032030322233 in words is "thirteen trillion, thirty-two billion, thirty million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 8568067273 25704201819 77112605457 111384874549 334154623647 1002463870941 1448003369137 4344010107411 13032030322233