| Base | Representation |
|---|---|
| bin | 1001101000100010100… |
| … | …00011011001011111000 |
| 3 | 1011122101002122210212210 |
| 4 | 10310101100123023320 |
| 5 | 20410343003000440 |
| 6 | 412021001335120 |
| 7 | 32625352402341 |
| oct | 4642120331370 |
| 9 | 1148332583783 |
| 10 | 331002000120 |
| 11 | 118416aaa900 |
| 12 | 54197a974a0 |
| 13 | 252a098138c |
| 14 | 120406990c8 |
| 15 | 8924261a80 |
| hex | 4d1141b2f8 |
331002000120 has 384 divisors, whose sum is σ = 1117951269120. Its totient is φ = 78319718400.
The previous prime is 331002000103. The next prime is 331002000137. The reversal of 331002000120 is 21000200133.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (331002000103) and next prime (331002000137).
It is a super-3 number, since 3×3310020001203 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 331002000096 and 331002000105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109929415 + ... + 109932425.
It is an arithmetic number, because the mean of its divisors is an integer number (2911331430).
Almost surely, 2331002000120 is an apocalyptic number.
331002000120 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 331002000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558975634560).
331002000120 is an abundant number, since it is smaller than the sum of its proper divisors (786949269000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331002000120 is a wasteful number, since it uses less digits than its factorization.
331002000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3227 (or 3212 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 331002000120 its reverse (21000200133), we get a palindrome (352002200253).
The spelling of 331002000120 in words is "three hundred thirty-one billion, two million, one hundred twenty", and thus it is an aban number.
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