| Base | Representation |
|---|---|
| bin | 1001000011101011011… |
| … | …11110110000111100100 |
| 3 | 1002202021222101122102200 |
| 4 | 10201311233312013210 |
| 5 | 20044331024401040 |
| 6 | 354545213134500 |
| 7 | 31325102614233 |
| oct | 4416557660744 |
| 9 | 1082258348380 |
| 10 | 311213122020 |
| 11 | 10aa9176a899 |
| 12 | 5039478a430 |
| 13 | 23468c56158 |
| 14 | 110c444cb1a |
| 15 | 8166cea630 |
| hex | 4875bf61e4 |
311213122020 has 144 divisors (see below), whose sum is σ = 970233329520. Its totient is φ = 80688365568.
The previous prime is 311213121959. The next prime is 311213122027. The reversal of 311213122020 is 20221312113.
311213122020 is a `hidden beast` number, since 31 + 121 + 312 + 202 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 51645289536 + 259567832484 = 227256^2 + 509478^2 .
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 = 311213121984 and 311213122002.
It is not an unprimeable number, because it can be changed into a prime (311213122027) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9527476 + ... + 9560084.
It is an arithmetic number, because the mean of its divisors is an integer number (6737731455).
Almost surely, 2311213122020 is an apocalyptic number.
311213122020 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 311213122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485116664760).
311213122020 is an abundant number, since it is smaller than the sum of its proper divisors (659020207500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311213122020 is a wasteful number, since it uses less digits than its factorization.
311213122020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34094 (or 34089 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 311213122020 its reverse (20221312113), we get a palindrome (331434434133).
The spelling of 311213122020 in words is "three hundred eleven billion, two hundred thirteen million, one hundred twenty-two thousand, twenty".
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