| Base | Representation |
|---|---|
| bin | 1001010101111100100… |
| … | …11010011111000100000 |
| 3 | 1010200121110100120110200 |
| 4 | 10222332103103320200 |
| 5 | 20224422200004440 |
| 6 | 403250311225200 |
| 7 | 32123116432143 |
| oct | 4527623237040 |
| 9 | 1120543316420 |
| 10 | 321020313120 |
| 11 | 114164663701 |
| 12 | 52271078200 |
| 13 | 2436ca06500 |
| 14 | 11774b4205a |
| 15 | 853ccbec30 |
| hex | 4abe4d3e20 |
321020313120 has 432 divisors, whose sum is σ = 1208662083720. Its totient is φ = 77526319104.
The previous prime is 321020313077. The next prime is 321020313121. The reversal of 321020313120 is 21313020123.
321020313120 is a `hidden beast` number, since 3 + 210 + 20 + 313 + 120 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 30960513936 + 290059799184 = 175956^2 + 538572^2 .
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 = 321020313093 and 321020313102.
It is not an unprimeable number, because it can be changed into a prime (321020313121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12885636 + ... + 12910524.
Almost surely, 2321020313120 is an apocalyptic number.
321020313120 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 321020313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604331041860).
321020313120 is an abundant number, since it is smaller than the sum of its proper divisors (887641770600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
321020313120 is a wasteful number, since it uses less digits than its factorization.
321020313120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24989 (or 24965 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 321020313120 its reverse (21313020123), we get a palindrome (342333333243).
The spelling of 321020313120 in words is "three hundred twenty-one billion, twenty million, three hundred thirteen thousand, one hundred twenty".
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