| Base | Representation |
|---|---|
| bin | 10010100010110… |
| … | …001101101110100 |
| 3 | 210200101211210000 |
| 4 | 102202301231310 |
| 5 | 1114120401140 |
| 6 | 50512031300 |
| 7 | 10465234542 |
| oct | 2242615564 |
| 9 | 720354700 |
| 10 | 311106420 |
| 11 | 14a67a949 |
| 12 | 88232530 |
| 13 | 4c5b9151 |
| 14 | 2d464d92 |
| 15 | 1c4a4a30 |
| hex | 128b1b74 |
311106420 has 120 divisors (see below), whose sum is σ = 982269288. Its totient is φ = 82425600.
The previous prime is 311106407. The next prime is 311106473. The reversal of 311106420 is 24601113.
It is a happy number.
311106420 is a `hidden beast` number, since 3 + 11 + 10 + 642 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 309900816 = 1098^2 + 17604^2 .
It is a super-3 number, since 3×3111064203 (a number of 26 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 = 311106393 and 311106402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292690 + ... + 293750.
Almost surely, 2311106420 is an apocalyptic number.
311106420 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 311106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491134644).
311106420 is an abundant number, since it is smaller than the sum of its proper divisors (671162868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311106420 is a wasteful number, since it uses less digits than its factorization.
311106420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 311106420 is about 17638.2090927622. The cubic root of 311106420 is about 677.5941654583.
Adding to 311106420 its reverse (24601113), we get a palindrome (335707533).
The spelling of 311106420 in words is "three hundred eleven million, one hundred six thousand, four hundred twenty".
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