| Base | Representation |
|---|---|
| bin | 1001100111000101100… |
| … | …01000010101000000000 |
| 3 | 1011120100201222202211200 |
| 4 | 10303202301002220000 |
| 5 | 20402243314133440 |
| 6 | 411411335541200 |
| 7 | 32600131603155 |
| oct | 4634261025000 |
| 9 | 1146321882750 |
| 10 | 330222021120 |
| 11 | 1180567a4062 |
| 12 | 53bba82a800 |
| 13 | 251a81bb344 |
| 14 | 11da8c6222c |
| 15 | 88caa41c30 |
| hex | 4ce2c42a00 |
330222021120 has 480 divisors, whose sum is σ = 1161734251392. Its totient is φ = 86678470656.
The previous prime is 330222021119. The next prime is 330222021139. The reversal of 330222021120 is 21120222033.
330222021120 is a `hidden beast` number, since 3 + 302 + 220 + 21 + 120 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-3 number, since 3×3302220211203 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 330222021093 and 330222021102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538697934 + ... + 538698546.
Almost surely, 2330222021120 is an apocalyptic number.
330222021120 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 330222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580867125696).
330222021120 is an abundant number, since it is smaller than the sum of its proper divisors (831512230272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330222021120 is a wasteful number, since it uses less digits than its factorization.
330222021120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 972 (or 953 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 330222021120 its reverse (21120222033), we get a palindrome (351342243153).
The spelling of 330222021120 in words is "three hundred thirty billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".
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