Base | Representation |
---|---|
bin | 1001101000110000111… |
… | …10000000001100111000 |
3 | 1011122200112100020200021 |
4 | 10310120132000030320 |
5 | 20411114442000440 |
6 | 412041003020224 |
7 | 32631352030123 |
oct | 4643036001470 |
9 | 1148615306607 |
10 | 331123000120 |
11 | 118479334a00 |
12 | 5421050a674 |
13 | 252bca68503 |
14 | 120527953ba |
15 | 892ebb384a |
hex | 4d18780338 |
331123000120 has 96 divisors (see below), whose sum is σ = 819204392160. Its totient is φ = 120365625600.
The previous prime is 331123000051. The next prime is 331123000189. The reversal of 331123000120 is 21000321133.
It is an interprime number because it is at equal distance from previous prime (331123000051) and next prime (331123000189).
It is a junction number, because it is equal to n+sod(n) for n = 331123000094 and 331123000103.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15734005 + ... + 15755035.
It is an arithmetic number, because the mean of its divisors is an integer number (8533379085).
Almost surely, 2331123000120 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 331123000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409602196080).
331123000120 is an abundant number, since it is smaller than the sum of its proper divisors (488081392040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331123000120 is a wasteful number, since it uses less digits than its factorization.
331123000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24317 (or 24302 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 331123000120 its reverse (21000321133), we get a palindrome (352123321253).
The spelling of 331123000120 in words is "three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty", and thus it is an aban number.
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