Base | Representation |
---|---|
bin | 111011101010111… |
… | …110111001011100 |
3 | 2120202210100011012 |
4 | 323222332321130 |
5 | 4022241422140 |
6 | 243201314352 |
7 | 33544260113 |
oct | 7352767134 |
9 | 2522710135 |
10 | 1001123420 |
11 | 474120930 |
12 | 23b3359b8 |
13 | 12c54162b |
14 | 96d60c7a |
15 | 5cd54265 |
hex | 3babee5c |
1001123420 has 96 divisors (see below), whose sum is σ = 2373186816. Its totient is φ = 351590400.
The previous prime is 1001123407. The next prime is 1001123423. The reversal of 1001123420 is 243211001.
It is a junction number, because it is equal to n+sod(n) for n = 1001123395 and 1001123404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001123423) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917075 + ... + 918165.
It is an arithmetic number, because the mean of its divisors is an integer number (24720696).
Almost surely, 21001123420 is an apocalyptic number.
1001123420 is a gapful number since it is divisible by the number (10) 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 1001123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186593408).
1001123420 is an abundant number, since it is smaller than the sum of its proper divisors (1372063396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001123420 is a wasteful number, since it uses less digits than its factorization.
1001123420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 1001123420 is about 31640.5344455494. The cubic root of 1001123420 is about 1000.3743331905.
Adding to 1001123420 its reverse (243211001), we get a palindrome (1244334421).
It can be divided in two parts, 1001 and 123420, that added together give a palindrome (124421).
The spelling of 1001123420 in words is "one billion, one million, one hundred twenty-three thousand, four hundred twenty".
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