Base | Representation |
---|---|
bin | 100101100011010110000001… |
… | …1001100000010110000001000 |
3 | 1121022112121212002210002212000 |
4 | 1023012230003030002300020 |
5 | 321243322213422301440 |
6 | 3130303424514151000 |
7 | 126401222424406152 |
oct | 11306540314026010 |
9 | 1538477762702760 |
10 | 330313103322120 |
11 | 96280000642706 |
12 | 31068a85b82460 |
13 | 1124051327c2b9 |
14 | 5b7d34d2a7ad2 |
15 | 282c306357730 |
hex | 12c6b03302c08 |
330313103322120 has 512 divisors, whose sum is σ = 1199199121344000. Its totient is φ = 80560591994880.
The previous prime is 330313103322107. The next prime is 330313103322127. The reversal of 330313103322120 is 21223301313033.
330313103322120 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 1 + 310 + 3 + 322 + 1 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (330313103322127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91179976 + ... + 94733384.
It is an arithmetic number, because the mean of its divisors is an integer number (2342185783875).
Almost surely, 2330313103322120 is an apocalyptic number.
330313103322120 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 330313103322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599599560672000).
330313103322120 is an abundant number, since it is smaller than the sum of its proper divisors (868886018021880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330313103322120 is a wasteful number, since it uses less digits than its factorization.
330313103322120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3553590 (or 3553580 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 330313103322120 its reverse (21223301313033), we get a palindrome (351536404635153).
The spelling of 330313103322120 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred three million, three hundred twenty-two thousand, one hundred twenty".
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