Base | Representation |
---|---|
bin | 111111011110101… |
… | …1001001011010000 |
3 | 12111110000101102012 |
4 | 1332331121023100 |
5 | 13330241214440 |
6 | 551205442052 |
7 | 103532616641 |
oct | 17675311320 |
9 | 5443011365 |
10 | 2130023120 |
11 | 9a3384995 |
12 | 4b5410328 |
13 | 27c3a0514 |
14 | 162c636c8 |
15 | c6ee7e65 |
hex | 7ef592d0 |
2130023120 has 80 divisors (see below), whose sum is σ = 5222880000. Its totient is φ = 805630464.
The previous prime is 2130023099. The next prime is 2130023149. The reversal of 2130023120 is 213200312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 2130023095 and 2130023104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091906 + ... + 1093854.
It is an arithmetic number, because the mean of its divisors is an integer number (65286000).
Almost surely, 22130023120 is an apocalyptic number.
2130023120 is a gapful number since it is divisible by the number (20) 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 2130023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440000).
2130023120 is an abundant number, since it is smaller than the sum of its proper divisors (3092856880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130023120 is a wasteful number, since it uses less digits than its factorization.
2130023120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2130023120 is about 46152.1735132810. The cubic root of 2130023120 is about 1286.6530064980.
Adding to 2130023120 its reverse (213200312), we get a palindrome (2343223432).
The spelling of 2130023120 in words is "two billion, one hundred thirty million, twenty-three thousand, one hundred twenty".
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