Base | Representation |
---|---|
bin | 1011001011100100… |
… | …0011111111101100 |
3 | 21202011110222202010 |
4 | 2302321003333230 |
5 | 22121313144040 |
6 | 1213452201220 |
7 | 134242440402 |
oct | 26271037754 |
9 | 7664428663 |
10 | 3001303020 |
11 | 1300180421 |
12 | 6b9169210 |
13 | 38aa4c661 |
14 | 206865472 |
15 | 12874ee80 |
hex | b2e43fec |
3001303020 has 96 divisors (see below), whose sum is σ = 8540038080. Its totient is φ = 787415040.
The previous prime is 3001303007. The next prime is 3001303079. The reversal of 3001303020 is 203031003.
It is a happy number.
It is a super-2 number, since 2×30013030202 = 18015639635722240800, which contains 22 as substring.
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 = 3001302987 and 3001303005.
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 31 ways as a sum of consecutive naturals, for example, 2807046 + ... + 2808114.
It is an arithmetic number, because the mean of its divisors is an integer number (88958730).
Almost surely, 23001303020 is an apocalyptic number.
3001303020 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 3001303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270019040).
3001303020 is an abundant number, since it is smaller than the sum of its proper divisors (5538735060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001303020 is a wasteful number, since it uses less digits than its factorization.
3001303020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 12.
The square root of 3001303020 is about 54784.1493499717. The cubic root of 3001303020 is about 1442.4583489761.
Adding to 3001303020 its reverse (203031003), we get a palindrome (3204334023).
The spelling of 3001303020 in words is "three billion, one million, three hundred three thousand, twenty".
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