Search a number
-
+
231330110112 = 2533172979551
BaseRepresentation
bin1101011101110001011…
…0010101101010100000
3211010002210102011221000
43113130112111222200
512242231002010422
6254134355032000
722466401330623
oct3273426255240
9733083364830
10231330110112
118a1198a8692
12389bbb9b600
1318a7813237a
14b2a7047dba
15603dc39cac
hex35dc595aa0

231330110112 has 288 divisors, whose sum is σ = 724201309440. Its totient is φ = 71818444800.

The previous prime is 231330110047. The next prime is 231330110159. The reversal of 231330110112 is 211011033132.

231330110112 is a `hidden beast` number, since 231 + 330 + 1 + 101 + 1 + 2 = 666.

231330110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 24215737 + ... + 24225287.

It is an arithmetic number, because the mean of its divisors is an integer number (2514587880).

Almost surely, 2231330110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231330110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362100654720).

231330110112 is an abundant number, since it is smaller than the sum of its proper divisors (492871199328).

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

231330110112 is a wasteful number, since it uses less digits than its factorization.

231330110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9670 counting only the distinct ones).

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

Adding to 231330110112 its reverse (211011033132), we get a palindrome (442341143244).

The spelling of 231330110112 in words is "two hundred thirty-one billion, three hundred thirty million, one hundred ten thousand, one hundred twelve".