Base | Representation |
---|---|
bin | 111111011110101… |
… | …0110000011010000 |
3 | 12111102222201212010 |
4 | 1332331112003100 |
5 | 13330240312240 |
6 | 551205302520 |
7 | 103532534424 |
oct | 17675260320 |
9 | 5442881763 |
10 | 2130010320 |
11 | 9a3376309 |
12 | 4b5404a40 |
13 | 27c397749 |
14 | 162c5cb84 |
15 | c6ee4280 |
hex | 7ef560d0 |
2130010320 has 80 divisors (see below), whose sum is σ = 6620736960. Its totient is φ = 566479872.
The previous prime is 2130010307. The next prime is 2130010327. The reversal of 2130010320 is 230100312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
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 = 2130010296 and 2130010305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2130010327) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 79252 + ... + 102668.
It is an arithmetic number, because the mean of its divisors is an integer number (82759212).
Almost surely, 22130010320 is an apocalyptic number.
2130010320 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 2130010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310368480).
2130010320 is an abundant number, since it is smaller than the sum of its proper divisors (4490726640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130010320 is a wasteful number, since it uses less digits than its factorization.
2130010320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23812 (or 23806 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 2130010320 is about 46152.0348413805. The cubic root of 2130010320 is about 1286.6504291877.
Adding to 2130010320 its reverse (230100312), we get a palindrome (2360110632).
The spelling of 2130010320 in words is "two billion, one hundred thirty million, ten thousand, three hundred twenty".
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