Base | Representation |
---|---|
bin | 1011101000101001… |
… | …1111010111111000 |
3 | 22001200001200202200 |
4 | 2322022133113320 |
5 | 22344031441440 |
6 | 1233531230200 |
7 | 140253500145 |
oct | 27212372770 |
9 | 8050050680 |
10 | 3123312120 |
11 | 1363034695 |
12 | 731ba8360 |
13 | 3aa0caba6 |
14 | 218b453cc |
15 | 134300c30 |
hex | ba29f5f8 |
3123312120 has 96 divisors (see below), whose sum is σ = 10177315200. Its totient is φ = 830704896.
The previous prime is 3123312113. The next prime is 3123312139. The reversal of 3123312120 is 212133213.
3123312120 is a `hidden beast` number, since 312 + 331 + 2 + 1 + 20 = 666.
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 = 3123312093 and 3123312102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128889 + ... + 151191.
It is an arithmetic number, because the mean of its divisors is an integer number (106013700).
Almost surely, 23123312120 is an apocalyptic number.
3123312120 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 3123312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088657600).
3123312120 is an abundant number, since it is smaller than the sum of its proper divisors (7054003080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3123312120 is a wasteful number, since it uses less digits than its factorization.
3123312120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22709 (or 22702 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 3123312120 is about 55886.6005407378. The cubic root of 3123312120 is about 1461.7456008453.
Adding to 3123312120 its reverse (212133213), we get a palindrome (3335445333).
The spelling of 3123312120 in words is "three billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty".
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