Base | Representation |
---|---|
bin | 111011110010001… |
… | …110001011011100 |
3 | 2120220100202011200 |
4 | 323302032023130 |
5 | 4023233133040 |
6 | 243310115500 |
7 | 33566352351 |
oct | 7362161334 |
9 | 2526322150 |
10 | 1003021020 |
11 | 4751a75a1 |
12 | 23baabb90 |
13 | 12ca57281 |
14 | 972d6628 |
15 | 5d0cb630 |
hex | 3bc8e2dc |
1003021020 has 144 divisors (see below), whose sum is σ = 3216289440. Its totient is φ = 252315648.
The previous prime is 1003021013. The next prime is 1003021043. The reversal of 1003021020 is 201203001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1003020993 and 1003021011.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1069992 + ... + 1070928.
Almost surely, 21003021020 is an apocalyptic number.
1003021020 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 1003021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608144720).
1003021020 is an abundant number, since it is smaller than the sum of its proper divisors (2213268420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003021020 is a wasteful number, since it uses less digits than its factorization.
1003021020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1284 (or 1279 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1003021020 is about 31670.5071004555. The cubic root of 1003021020 is about 1001.0059943028.
Adding to 1003021020 its reverse (201203001), we get a palindrome (1204224021).
The spelling of 1003021020 in words is "one billion, three million, twenty-one thousand, twenty".
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