Base | Representation |
---|---|
bin | 101111000010000010… |
… | …0100000000000110100 |
3 | 100122200212100121211020 |
4 | 1132010010200000310 |
5 | 3123322001120040 |
6 | 114222044541140 |
7 | 10203606001524 |
oct | 1360404400064 |
9 | 318625317736 |
10 | 101000020020 |
11 | 39919972a29 |
12 | 176a88517b0 |
13 | 96a7a55a73 |
14 | 4c61bb5684 |
15 | 2961e21cd0 |
hex | 1784120034 |
101000020020 has 96 divisors (see below), whose sum is σ = 284430026496. Its totient is φ = 26778470400.
The previous prime is 101000019997. The next prime is 101000020021. The reversal of 101000020020 is 20020000101.
It is a happy number.
101000020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 101000019990 and 101000020008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101000020021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9552777 + ... + 9563343.
It is an arithmetic number, because the mean of its divisors is an integer number (2962812776).
Almost surely, 2101000020020 is an apocalyptic number.
101000020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
101000020020 is an abundant number, since it is smaller than the sum of its proper divisors (183430006476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101000020020 is a wasteful number, since it uses less digits than its factorization.
101000020020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11481 (or 11479 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 101000020020 its reverse (20020000101), we get a palindrome (121020020121).
The spelling of 101000020020 in words is "one hundred one billion, twenty thousand, twenty".
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