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230323033131331 = 719311631307262217
BaseRepresentation
bin110100010111101001000010…
…100100101100100101000011
31010012111200000012011011000211
4310113221002210230211003
5220142103032440200311
62133504535105454551
766341201321225650
oct6427510244544503
91105450005134024
10230323033131331
116742a4a476a128
12219ba191941457
139b694a441920a
1440c39a1186c27
151b9636d6cd821
hexd17a4292c943

230323033131331 has 64 divisors (see below), whose sum is σ = 287994406993920. Its totient is φ = 179747305908480.

The previous prime is 230323033131313. The next prime is 230323033131377. The reversal of 230323033131331 is 133131330323032.

It is a cyclic number.

It is not a de Polignac number, because 230323033131331 - 225 = 230322999576899 is a prime.

It is a super-2 number, since 2×2303230331313312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230323033131293 and 230323033131302.

It is not an unprimeable number, because it can be changed into a prime (230323033131131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878236935 + ... + 878499151.

It is an arithmetic number, because the mean of its divisors is an integer number (4499912609280).

Almost surely, 2230323033131331 is an apocalyptic number.

230323033131331 is a deficient number, since it is larger than the sum of its proper divisors (57671373862589).

230323033131331 is a wasteful number, since it uses less digits than its factorization.

230323033131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263744.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 230323033131331 its reverse (133131330323032), we get a palindrome (363454363454363).

The spelling of 230323033131331 in words is "two hundred thirty trillion, three hundred twenty-three billion, thirty-three million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 19 31 133 163 217 589 1141 1307 3097 4123 5053 9149 21679 24833 35371 40517 96007 173831 213041 262217 283619 672049 769823 1491287 1835519 4047779 4982123 5388761 6604271 8128727 28334453 34874861 42741371 46229897 56901089 125481149 154445813 299189597 342717619 812086049 878368043 1081120691 1324982501 2399023333 5684602343 6511634761 9274877507 10624246189 25174667519 45581443327 55862971897 74369723323 176222672633 201860677591 391040803279 1061396466043 1413024743137 1731752128807 7429775262301 12122264901649 32903290447333 230323033131331