Base | Representation |
---|---|
bin | 10010101110000100… |
… | …100011110011110100 |
3 | 1220212211021001000022 |
4 | 102232010203303310 |
5 | 312131134100040 |
6 | 13122311104312 |
7 | 1311050505533 |
oct | 225604436364 |
9 | 56784231008 |
10 | 20100300020 |
11 | 85851059a9 |
12 | 3a8b672098 |
13 | 1b843c4b68 |
14 | d8975431a |
15 | 7c997e6b5 |
hex | 4ae123cf4 |
20100300020 has 48 divisors (see below), whose sum is σ = 43396749648. Its totient is φ = 7815613440.
The previous prime is 20100300019. The next prime is 20100300029. The reversal of 20100300020 is 2000300102.
It can be written as a sum of positive squares in 8 ways, for example, as 9531226384 + 10569073636 = 97628^2 + 102806^2 .
It is a junction number, because it is equal to n+sod(n) for n = 20100299980 and 20100300007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20100300029) 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, 182894 + ... + 271386.
It is an arithmetic number, because the mean of its divisors is an integer number (904098951).
Almost surely, 220100300020 is an apocalyptic number.
20100300020 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 20100300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21698374824).
20100300020 is an abundant number, since it is smaller than the sum of its proper divisors (23296449628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20100300020 is a wasteful number, since it uses less digits than its factorization.
20100300020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88820 (or 88818 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
Adding to 20100300020 its reverse (2000300102), we get a palindrome (22100600122).
The spelling of 20100300020 in words is "twenty billion, one hundred million, three hundred thousand, twenty".
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