Search a number
-
+
330123222330000 = 24354111039996199
BaseRepresentation
bin100101100001111101100110…
…1011001100010101010010000
31121021212110201222012021121020
41023003323031121202222100
5321232214324404030000
63130040303101355440
7126351421124533641
oct11303731531425220
91537773658167536
10330123222330000
119620752178a940
1231038113268b80
13112286424b7a68
145b740990876c8
1528273e144cba0
hex12c3ecd662a90

330123222330000 has 400 divisors, whose sum is σ = 1162685821440000. Its totient is φ = 80021344320000.

The previous prime is 330123222329899. The next prime is 330123222330071. The reversal of 330123222330000 is 33222321033.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3301232223300002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 3431621901 + ... + 3431718099.

It is an arithmetic number, because the mean of its divisors is an integer number (2906714553600).

Almost surely, 2330123222330000 is an apocalyptic number.

330123222330000 is a gapful number since it is divisible by the number (30) 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 330123222330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581342910720000).

330123222330000 is an abundant number, since it is smaller than the sum of its proper divisors (832562599110000).

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

330123222330000 is a wasteful number, since it uses less digits than its factorization.

330123222330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106640 (or 106619 counting only the distinct ones).

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

Adding to 330123222330000 its reverse (33222321033), we get a palindrome (330156444651033).

The spelling of 330123222330000 in words is "three hundred thirty trillion, one hundred twenty-three billion, two hundred twenty-two million, three hundred thirty thousand".