Search a number
-
+
111022230003300 = 22325271137137317997
BaseRepresentation
bin11001001111100101100000…
…100101001101111001100100
3112120002121210002122101021200
4121033211200211031321210
5104022442011340101200
61032042524112242500
732246043233263050
oct3117454045157144
9476077702571250
10111022230003300
1132414299547640
1210550a28240430
1349c4474c4c8b5
141d5b70c8bac60
15cc7e2288b800
hex64f96094de64

111022230003300 has 1728 divisors, whose sum is σ = 450707373881856. Its totient is φ = 22189643366400.

The previous prime is 111022230003287. The next prime is 111022230003353. The reversal of 111022230003300 is 3300032220111.

111022230003300 is a `hidden beast` number, since 1 + 1 + 10 + 2 + 22 + 300 + 0 + 330 + 0 = 666.

111022230003300 is digitally balanced in base 3, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 111356298402 + ... + 111356299398.

It is an arithmetic number, because the mean of its divisors is an integer number (260826026552).

Almost surely, 2111022230003300 is an apocalyptic number.

111022230003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022230003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225353686940928).

111022230003300 is an abundant number, since it is smaller than the sum of its proper divisors (339685143878556).

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

111022230003300 is a wasteful number, since it uses less digits than its factorization.

111022230003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 111022230003300 its reverse (3300032220111), we get a palindrome (114322262223411).

The spelling of 111022230003300 in words is "one hundred eleven trillion, twenty-two billion, two hundred thirty million, three thousand, three hundred".