| Base | Representation |
|---|---|
| bin | 1001000111100111100… |
| … | …11101010011100100000 |
| 3 | 1002221202101000012221200 |
| 4 | 10203303303222130200 |
| 5 | 20113143440131000 |
| 6 | 355535123321200 |
| 7 | 31431363332655 |
| oct | 4436363523440 |
| 9 | 1087671005850 |
| 10 | 313328052000 |
| 11 | 110977576007 |
| 12 | 50884b20200 |
| 13 | 23715170802 |
| 14 | 112452a3c2c |
| 15 | 823c811500 |
| hex | 48f3cea720 |
313328052000 has 288 divisors, whose sum is σ = 1113559849584. Its totient is φ = 83437056000.
The previous prime is 313328051989. The next prime is 313328052007. The reversal of 313328052000 is 250823313.
313328052000 is a `hidden beast` number, since 3 + 133 + 2 + 8 + 0 + 520 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 25899108624 + 287428943376 = 160932^2 + 536124^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×3133280520002 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (313328052007) 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 47 ways as a sum of consecutive naturals, for example, 27390282 + ... + 27401718.
Almost surely, 2313328052000 is an apocalyptic number.
313328052000 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 313328052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556779924792).
313328052000 is an abundant number, since it is smaller than the sum of its proper divisors (800231797584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313328052000 is a wasteful number, since it uses less digits than its factorization.
313328052000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12229 (or 12208 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
Adding to 313328052000 its reverse (250823313), we get a palindrome (313578875313).
The spelling of 313328052000 in words is "three hundred thirteen billion, three hundred twenty-eight million, fifty-two thousand".
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