Base | Representation |
---|---|
bin | 10011001110010111… |
… | …00101000001000000 |
3 | 222122021211021221121 |
4 | 21213023211001000 |
5 | 132114140214130 |
6 | 4424051202024 |
7 | 513523151116 |
oct | 114713450100 |
9 | 28567737847 |
10 | 10321023040 |
11 | 4416a48409 |
12 | 20005a6314 |
13 | c86369233 |
14 | 6dca49ab6 |
15 | 406170d7a |
hex | 2672e5040 |
10321023040 has 112 divisors (see below), whose sum is σ = 25015935744. Its totient is φ = 4055040000.
The previous prime is 10321022993. The next prime is 10321023043. The reversal of 10321023040 is 4032012301.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (10321023043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13742665 + ... + 13743415.
Almost surely, 210321023040 is an apocalyptic number.
10321023040 is a gapful number since it is divisible by the number (10) 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 10321023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507967872).
10321023040 is an abundant number, since it is smaller than the sum of its proper divisors (14694912704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321023040 is an equidigital number, since it uses as much as digits as its factorization.
10321023040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 10321023040 its reverse (4032012301), we get a palindrome (14353035341).
The spelling of 10321023040 in words is "ten billion, three hundred twenty-one million, twenty-three thousand, forty".
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