| Base | Representation |
|---|---|
| bin | 111100010010110… |
| … | …1000011101111000 |
| 3 | 12012222212200222210 |
| 4 | 1320211220131320 |
| 5 | 13120410143000 |
| 6 | 532430415120 |
| 7 | 101064221052 |
| oct | 17045503570 |
| 9 | 5188780883 |
| 10 | 2023131000 |
| 11 | 9490062a0 |
| 12 | 4856614a0 |
| 13 | 2631b5947 |
| 14 | 15299a8d2 |
| 15 | bc931350 |
| hex | 78968778 |
2023131000 has 256 divisors, whose sum is σ = 6965637120. Its totient is φ = 484800000.
The previous prime is 2023130981. The next prime is 2023131007. The reversal of 2023131000 is 1313202.
It is a happy number.
2023131000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×20231310002 = 8186118086322000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2023131007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332697 + ... + 3333303.
It is an arithmetic number, because the mean of its divisors is an integer number (27209520).
Almost surely, 22023131000 is an apocalyptic number.
2023131000 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 2023131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482818560).
2023131000 is an abundant number, since it is smaller than the sum of its proper divisors (4942506120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023131000 is a wasteful number, since it uses less digits than its factorization.
2023131000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 743 (or 729 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 2023131000 is about 44979.2285394047. The cubic root of 2023131000 is about 1264.7596495874.
Adding to 2023131000 its reverse (1313202), we get a palindrome (2024444202).
The spelling of 2023131000 in words is "two billion, twenty-three million, one hundred thirty-one thousand".
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