Base | Representation |
---|---|
bin | 10101011010111110… |
… | …010100100011010000 |
3 | 2012100222200010002100 |
4 | 111122332110203100 |
5 | 334101241414044 |
6 | 14322213520400 |
7 | 1442663214465 |
oct | 253276244320 |
9 | 65328603070 |
10 | 23001123024 |
11 | 9833597190 |
12 | 455b043100 |
13 | 2227393389 |
14 | 1182b0166c |
15 | 8e9482869 |
hex | 55af948d0 |
23001123024 has 120 divisors (see below), whose sum is σ = 71112412800. Its totient is φ = 6881771520.
The previous prime is 23001123023. The next prime is 23001123031. The reversal of 23001123024 is 42032110032.
It is a super-3 number, since 3×230011230243 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 23001122988 and 23001123006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23001123023) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 33232 + ... + 217040.
It is an arithmetic number, because the mean of its divisors is an integer number (592603440).
Almost surely, 223001123024 is an apocalyptic number.
23001123024 is a gapful number since it is divisible by the number (24) 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 23001123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35556206400).
23001123024 is an abundant number, since it is smaller than the sum of its proper divisors (48111289776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23001123024 is a wasteful number, since it uses less digits than its factorization.
23001123024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183913 (or 183904 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 23001123024 its reverse (42032110032), we get a palindrome (65033233056).
The spelling of 23001123024 in words is "twenty-three billion, one million, one hundred twenty-three thousand, twenty-four".
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