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13000233231 = 329722696563
BaseRepresentation
bin11000001101101111…
…11101000100001111
31020120000020021101200
430012313331010033
5203111024430411
65550000040543
7640105105416
oct140667750417
936500207350
1013000233231
115571324707
122629903153
1312c2453bcb
148b47ca47d
1551149ae56
hex306dfd10f

13000233231 has 24 divisors (see below), whose sum is σ = 18982956720. Its totient is φ = 8572386816.

The previous prime is 13000233227. The next prime is 13000233247. The reversal of 13000233231 is 13233200031.

13000233231 is a `hidden beast` number, since 1 + 300 + 0 + 2 + 332 + 31 = 666.

It is not a de Polignac number, because 13000233231 - 22 = 13000233227 is a prime.

It is a super-2 number, since 2×130002332312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000233221) 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, 1977556 + ... + 1984118.

It is an arithmetic number, because the mean of its divisors is an integer number (790956530).

Almost surely, 213000233231 is an apocalyptic number.

13000233231 is a deficient number, since it is larger than the sum of its proper divisors (5982723489).

13000233231 is a wasteful number, since it uses less digits than its factorization.

13000233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13000233231 its reverse (13233200031), we get a palindrome (26233433262).

The spelling of 13000233231 in words is "thirteen billion, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 97 291 873 2269 6563 6807 19689 20421 59067 220093 636611 660279 1909833 1980837 5729499 14891447 44674341 134023023 1444470359 4333411077 13000233231