Base | Representation |
---|---|
bin | 10010110100000010… |
… | …10111100000000000 |
3 | 222001220101110220001 |
4 | 21122001113200000 |
5 | 131141130224212 |
6 | 4350123125344 |
7 | 505202433640 |
oct | 113201274000 |
9 | 28056343801 |
10 | 10100242432 |
11 | 43133616a5 |
12 | 1b5a673854 |
13 | c4c6b7417 |
14 | 6bb5b8520 |
15 | 3e1aae657 |
hex | 25a057800 |
10100242432 has 96 divisors (see below), whose sum is σ = 23826216960. Its totient is φ = 4188856320.
The previous prime is 10100242403. The next prime is 10100242511. The reversal of 10100242432 is 23424200101.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 433053 + ... + 455779.
It is an arithmetic number, because the mean of its divisors is an integer number (248189760).
Almost surely, 210100242432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10100242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913108480).
10100242432 is an abundant number, since it is smaller than the sum of its proper divisors (13725974528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100242432 is an equidigital number, since it uses as much as digits as its factorization.
10100242432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22787 (or 22767 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
Adding to 10100242432 its reverse (23424200101), we get a palindrome (33524442533).
The spelling of 10100242432 in words is "ten billion, one hundred million, two hundred forty-two thousand, four hundred thirty-two".
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