Base | Representation |
---|---|
bin | 110000001100101001111… |
… | …011110100101001100100 |
3 | 102201122011120101102220201 |
4 | 300030221323310221210 |
5 | 413231212033130340 |
6 | 11013322441440244 |
7 | 461202334546312 |
oct | 60145173645144 |
9 | 12648146342821 |
10 | 3312123333220 |
11 | 1067733302729 |
12 | 455ab34a0084 |
13 | 1b0441216460 |
14 | b644419d0b2 |
15 | 5b2513d679a |
hex | 30329ef4a64 |
3312123333220 has 96 divisors (see below), whose sum is σ = 7507427681376. Its totient is φ = 1220175360000.
The previous prime is 3312123333217. The next prime is 3312123333221. The reversal of 3312123333220 is 223333212133.
It can be written as a sum of positive squares in 16 ways, for example, as 1252416144996 + 2059707188224 = 1119114^2 + 1435168^2 .
It is not an unprimeable number, because it can be changed into a prime (3312123333221) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434601010 + ... + 434608630.
It is an arithmetic number, because the mean of its divisors is an integer number (78202371681).
Almost surely, 23312123333220 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3312123333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753713840688).
3312123333220 is an abundant number, since it is smaller than the sum of its proper divisors (4195304348156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3312123333220 is a wasteful number, since it uses less digits than its factorization.
3312123333220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11201 (or 11199 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 28.
Adding to 3312123333220 its reverse (223333212133), we get a palindrome (3535456545353).
The spelling of 3312123333220 in words is "three trillion, three hundred twelve billion, one hundred twenty-three million, three hundred thirty-three thousand, two hundred twenty".
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