Base | Representation |
---|---|
bin | 10101100000110111… |
… | …101000010000100000 |
3 | 2012121212210012201221 |
4 | 111200313220100200 |
5 | 334302102011112 |
6 | 14340105504424 |
7 | 1445304014110 |
oct | 254067502040 |
9 | 65555705657 |
10 | 23100032032 |
11 | 9884402a70 |
12 | 45881a2114 |
13 | 2241a1440c |
14 | 1191ccb040 |
15 | 902ebde07 |
hex | 560de8420 |
23100032032 has 96 divisors (see below), whose sum is σ = 57147310080. Its totient is φ = 8929025280.
The previous prime is 23100032027. The next prime is 23100032047. The reversal of 23100032032 is 23023000132.
It is a super-4 number, since 4×231000320324 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 23100031997 and 23100032015.
It is an unprimeable number.
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, 276019 + ... + 349837.
It is an arithmetic number, because the mean of its divisors is an integer number (595284480).
Almost surely, 223100032032 is an apocalyptic number.
23100032032 is a gapful number since it is divisible by the number (22) 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 23100032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573655040).
23100032032 is an abundant number, since it is smaller than the sum of its proper divisors (34047278048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23100032032 is a wasteful number, since it uses less digits than its factorization.
23100032032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73974 (or 73966 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 23100032032 its reverse (23023000132), we get a palindrome (46123032164).
The spelling of 23100032032 in words is "twenty-three billion, one hundred million, thirty-two thousand, thirty-two".
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