Base | Representation |
---|---|
bin | 101100000111… |
… | …1001110001100 |
3 | 1121112011210110 |
4 | 1120033032030 |
5 | 21410143040 |
6 | 2143440020 |
7 | 400416243 |
oct | 130171614 |
9 | 47464713 |
10 | 23131020 |
11 | 12069750 |
12 | 78b6010 |
13 | 4a3b5c3 |
14 | 310195a |
15 | 206d980 |
hex | 160f38c |
23131020 has 96 divisors (see below), whose sum is σ = 71559936. Its totient is φ = 5536000.
The previous prime is 23131001. The next prime is 23131027. The reversal of 23131020 is 2013132.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 23130987 and 23131005.
It is not an unprimeable number, because it can be changed into a prime (23131027) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66487 + ... + 66833.
It is an arithmetic number, because the mean of its divisors is an integer number (745416).
Almost surely, 223131020 is an apocalyptic number.
23131020 is a gapful number since it is divisible by the number (20) 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 23131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779968).
23131020 is an abundant number, since it is smaller than the sum of its proper divisors (48428916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23131020 is a wasteful number, since it uses less digits than its factorization.
23131020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 471 (or 469 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 23131020 is about 4809.4719044818. The cubic root of 23131020 is about 284.9256808370.
Adding to 23131020 its reverse (2013132), we get a palindrome (25144152).
It can be divided in two parts, 2313 and 1020, that added together give a palindrome (3333).
The spelling of 23131020 in words is "twenty-three million, one hundred thirty-one thousand, twenty".
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