Base | Representation |
---|---|
bin | 10011000011101001… |
… | …01000000010100000 |
3 | 222102000122202012120 |
4 | 21201310220002200 |
5 | 131423131320112 |
6 | 4411120224240 |
7 | 511352041200 |
oct | 114164500240 |
9 | 28360582176 |
10 | 10231120032 |
11 | 4380222a01 |
12 | 1b9646b080 |
13 | c7084c4a3 |
14 | 6d0b26400 |
15 | 3ed312e8c |
hex | 261d280a0 |
10231120032 has 144 divisors (see below), whose sum is σ = 31968633312. Its totient is φ = 2855139840.
The previous prime is 10231120027. The next prime is 10231120049. The reversal of 10231120032 is 23002113201.
It is a junction number, because it is equal to n+sod(n) for n = 10231119993 and 10231120020.
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 23 ways as a sum of consecutive naturals, for example, 176982 + ... + 227562.
It is an arithmetic number, because the mean of its divisors is an integer number (222004398).
Almost surely, 210231120032 is an apocalyptic number.
10231120032 is a gapful number since it is divisible by the number (12) 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 10231120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984316656).
10231120032 is an abundant number, since it is smaller than the sum of its proper divisors (21737513280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10231120032 is a wasteful number, since it uses less digits than its factorization.
10231120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50651 (or 50636 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10231120032 its reverse (23002113201), we get a palindrome (33233233233).
The spelling of 10231120032 in words is "ten billion, two hundred thirty-one million, one hundred twenty thousand, thirty-two".
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