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230111332110 = 233511113773887
BaseRepresentation
bin1101011001001110110…
…1000100011100001110
3210222221212001211211000
43112103231010130032
512232232000111420
6253413420241130
722424242023162
oct3262355043416
9728855054730
10230111332110
1189653936740
123871b9a01a6
1318912794a5a
14b1cd22aca2
155ebbc40690
hex3593b4470e

230111332110 has 256 divisors, whose sum is σ = 676974827520. Its totient is φ = 55157114880.

The previous prime is 230111332103. The next prime is 230111332123. The reversal of 230111332110 is 11233111032.

230111332110 is a `hidden beast` number, since 230 + 1 + 113 + 321 + 1 + 0 = 666.

230111332110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 259426087 + ... + 259426973.

It is an arithmetic number, because the mean of its divisors is an integer number (2644432920).

Almost surely, 2230111332110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230111332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338487413760).

230111332110 is an abundant number, since it is smaller than the sum of its proper divisors (446863495410).

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

230111332110 is a wasteful number, since it uses less digits than its factorization.

230111332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230111332110 its reverse (11233111032), we get a palindrome (241344443142).

The spelling of 230111332110 in words is "two hundred thirty billion, one hundred eleven million, three hundred thirty-two thousand, one hundred ten".