Base | Representation |
---|---|
bin | 101110110000010001… |
… | …1101101110000110000 |
3 | 100121011100020222222211 |
4 | 1131200203231300300 |
5 | 3121111440114044 |
6 | 114043002541504 |
7 | 10153052546200 |
oct | 1354043556060 |
9 | 317140228884 |
10 | 100404223024 |
11 | 39643625916 |
12 | 17561207894 |
13 | 961149c271 |
14 | 4c06a04400 |
15 | 2929984634 |
hex | 17608edc30 |
100404223024 has 120 divisors (see below), whose sum is σ = 233913028608. Its totient is φ = 41585362560.
The previous prime is 100404222983. The next prime is 100404223027. The reversal of 100404223024 is 420322404001.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 100404222986 and 100404223004.
It is not an unprimeable number, because it can be changed into a prime (100404223027) 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 23 ways as a sum of consecutive naturals, for example, 20971959 + ... + 20976745.
Almost surely, 2100404223024 is an apocalyptic number.
100404223024 is a gapful number since it is divisible by the number (14) 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 100404223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116956514304).
100404223024 is an abundant number, since it is smaller than the sum of its proper divisors (133508805584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100404223024 is a wasteful number, since it uses less digits than its factorization.
100404223024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5703 (or 5690 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
Adding to 100404223024 its reverse (420322404001), we get a palindrome (520726627025).
The spelling of 100404223024 in words is "one hundred billion, four hundred four million, two hundred twenty-three thousand, twenty-four".
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