| Base | Representation |
|---|---|
| bin | 100011011110001111101001… |
| … | …0000010110011000010100100 |
| 3 | 1111220202211012012012120101200 |
| 4 | 1012330133102002303002210 |
| 5 | 311344113441323214340 |
| 6 | 3023340003140322500 |
| 7 | 122502462540163344 |
| oct | 10674372202630244 |
| 9 | 1456684165176350 |
| 10 | 312020013101220 |
| 11 | 90467a430614a6 |
| 12 | 2abb369b0a3430 |
| 13 | 10514490108618 |
| 14 | 5709bc634ad24 |
| 15 | 2611553737330 |
| hex | 11bc7d20b30a4 |
312020013101220 has 576 divisors, whose sum is σ = 1023661836288000. Its totient is φ = 76723870519296.
The previous prime is 312020013101119. The next prime is 312020013101239. The reversal of 312020013101220 is 22101310020213.
312020013101220 is a `hidden beast` number, since 3 + 120 + 200 + 1 + 310 + 12 + 20 = 666.
It is a super-3 number, since 3×3120200131012203 (a number of 44 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 = 312020013101193 and 312020013101202.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15037823406 + ... + 15037844154.
It is an arithmetic number, because the mean of its divisors is an integer number (1777190688000).
Almost surely, 2312020013101220 is an apocalyptic number.
312020013101220 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 312020013101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511830918144000).
312020013101220 is an abundant number, since it is smaller than the sum of its proper divisors (711641823186780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312020013101220 is a wasteful number, since it uses less digits than its factorization.
312020013101220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21724 (or 21719 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 312020013101220 its reverse (22101310020213), we get a palindrome (334121323121433).
The spelling of 312020013101220 in words is "three hundred twelve trillion, twenty billion, thirteen million, one hundred one thousand, two hundred twenty".
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