Search a number
-
+
231220312023330 = 23257896292165539
BaseRepresentation
bin110100100100101100101100…
…100100000010000100100010
31010022200110001002200121211100
4310210230230210002010202
5220301303144334221310
62135433051150255230
766463054611041010
oct6444545444020442
91108613032617740
10231220312023330
1167745a90266233
1221b240667b7516
139c02c9c20b036
1441151a10038b0
151bae886da5ec0
hexd24b2c902122

231220312023330 has 192 divisors, whose sum is σ = 694795999622400. Its totient is φ = 52254904965120.

The previous prime is 231220312023289. The next prime is 231220312023353. The reversal of 231220312023330 is 33320213022132.

231220312023330 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 203 + 120 + 2 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231220312023294 and 231220312023303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3527947701 + ... + 3528013239.

It is an arithmetic number, because the mean of its divisors is an integer number (3618729164700).

Almost surely, 2231220312023330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231220312023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347397999811200).

231220312023330 is an abundant number, since it is smaller than the sum of its proper divisors (463575687599070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231220312023330 is a wasteful number, since it uses less digits than its factorization.

231220312023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128569 (or 128566 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231220312023330 its reverse (33320213022132), we get a palindrome (264540525045462).

The spelling of 231220312023330 in words is "two hundred thirty-one trillion, two hundred twenty billion, three hundred twelve million, twenty-three thousand, three hundred thirty".