Base | Representation |
---|---|
bin | 10101000101110110… |
… | …11101110001100000 |
3 | 1002020011000221120120 |
4 | 22202323131301200 |
5 | 141142244311112 |
6 | 5111340240240 |
7 | 550414404243 |
oct | 124273356140 |
9 | 32204027516 |
10 | 11323432032 |
11 | 48908670a0 |
12 | 2240240080 |
13 | 10b5c3aa53 |
14 | 795c2325a |
15 | 46417ae8c |
hex | 2a2eddc60 |
11323432032 has 96 divisors (see below), whose sum is σ = 32544094464. Its totient is φ = 3418867200.
The previous prime is 11323432027. The next prime is 11323432051. The reversal of 11323432032 is 23023432311.
11323432032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×113234320322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 11323431993 and 11323432011.
It is a congruent number.
It is an unprimeable number.
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, 273157 + ... + 311867.
It is an arithmetic number, because the mean of its divisors is an integer number (339000984).
Almost surely, 211323432032 is an apocalyptic number.
11323432032 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 11323432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272047232).
11323432032 is an abundant number, since it is smaller than the sum of its proper divisors (21220662432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11323432032 is a wasteful number, since it uses less digits than its factorization.
11323432032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39012 (or 39004 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
Adding to 11323432032 its reverse (23023432311), we get a palindrome (34346864343).
The spelling of 11323432032 in words is "eleven billion, three hundred twenty-three million, four hundred thirty-two thousand, thirty-two".
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