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230023332321 = 31301579110177
BaseRepresentation
bin1101011000111001110…
…1011000000111100001
3210222201201110222210120
43112032131120013201
512232041433113241
6253400554150453
722422123031056
oct3261635300741
9728651428716
10230023332321
11896091a1142
12386b6422429
13188ca493383
14b1c168102d
155eb415b666
hex358e7581e1

230023332321 has 16 divisors (see below), whose sum is σ = 307016683008. Its totient is φ = 153189504000.

The previous prime is 230023332313. The next prime is 230023332323. The reversal of 230023332321 is 123233320032.

230023332321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230023332321 - 23 = 230023332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230023332291 and 230023332300.

It is not an unprimeable number, because it can be changed into a prime (230023332323) 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, 22597185 + ... + 22607361.

It is an arithmetic number, because the mean of its divisors is an integer number (19188542688).

Almost surely, 2230023332321 is an apocalyptic number.

It is an amenable number.

230023332321 is a deficient number, since it is larger than the sum of its proper divisors (76993350687).

230023332321 is a wasteful number, since it uses less digits than its factorization.

230023332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230023332321 its reverse (123233320032), we get a palindrome (353256652353).

The spelling of 230023332321 in words is "two hundred thirty billion, twenty-three million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 1301 3903 5791 10177 17373 30531 7534091 13240277 22602273 39720831 58935007 176805021 76674444107 230023332321