| Base | Representation |
|---|---|
| bin | 1011101010100010… |
| … | …0111111000100100 |
| 3 | 22002012221000101220 |
| 4 | 2322220213320210 |
| 5 | 22403042230200 |
| 6 | 1234412420340 |
| 7 | 140410566630 |
| oct | 27250477044 |
| 9 | 8065830356 |
| 10 | 3131211300 |
| 11 | 136753a438 |
| 12 | 7347776b0 |
| 13 | 3ab935469 |
| 14 | 219bdddc0 |
| 15 | 134d614a0 |
| hex | baa27e24 |
3131211300 has 288 divisors, whose sum is σ = 11059292160. Its totient is φ = 667699200.
The previous prime is 3131211253. The next prime is 3131211301. The reversal of 3131211300 is 31121313.
3131211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3131211300.
It is not an unprimeable number, because it can be changed into a prime (3131211301) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4961985 + ... + 4962615.
It is an arithmetic number, because the mean of its divisors is an integer number (38400320).
Almost surely, 23131211300 is an apocalyptic number.
3131211300 is a gapful number since it is divisible by the number (30) 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 3131211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529646080).
3131211300 is an abundant number, since it is smaller than the sum of its proper divisors (7928080860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131211300 is a wasteful number, since it uses less digits than its factorization.
3131211300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 811 (or 804 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
The square root of 3131211300 is about 55957.2274152321. The cubic root of 3131211300 is about 1462.9768654612.
Adding to 3131211300 its reverse (31121313), we get a palindrome (3162332613).
The spelling of 3131211300 in words is "three billion, one hundred thirty-one million, two hundred eleven thousand, three hundred".
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