Base | Representation |
---|---|
bin | 101110100100111011… |
… | …1000100110001000100 |
3 | 100120011210201022012221 |
4 | 1131021313010301010 |
5 | 3114321444001040 |
6 | 113541121022124 |
7 | 10140450026164 |
oct | 1351167046104 |
9 | 316153638187 |
10 | 100023422020 |
11 | 39468683445 |
12 | 17475784944 |
13 | 9580620622 |
14 | 4bac1da5a4 |
15 | 290631474a |
hex | 1749dc4c44 |
100023422020 has 48 divisors (see below), whose sum is σ = 211569403248. Its totient is φ = 39720245760.
The previous prime is 100023421997. The next prime is 100023422029. The reversal of 100023422020 is 20224320001.
100023422020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 53671915584 + 46351506436 = 231672^2 + 215294^2 .
It is a junction number, because it is equal to n+sod(n) for n = 100023421985 and 100023422003.
It is not an unprimeable number, because it can be changed into a prime (100023422029) 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, 3795690 + ... + 3821950.
It is an arithmetic number, because the mean of its divisors is an integer number (4407695901).
Almost surely, 2100023422020 is an apocalyptic number.
100023422020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
100023422020 is an abundant number, since it is smaller than the sum of its proper divisors (111545981228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100023422020 is a wasteful number, since it uses less digits than its factorization.
100023422020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27640 (or 27638 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
Adding to 100023422020 its reverse (20224320001), we get a palindrome (120247742021).
The spelling of 100023422020 in words is "one hundred billion, twenty-three million, four hundred twenty-two thousand, twenty".
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