Base | Representation |
---|---|
bin | 111111100100100… |
… | …1111111111010100 |
3 | 12111122212021221000 |
4 | 1333021033333110 |
5 | 13332040144340 |
6 | 551400223300 |
7 | 103601213313 |
oct | 17711177724 |
9 | 5448767830 |
10 | 2133131220 |
11 | 9a5108070 |
12 | 4b646ab30 |
13 | 27cc1b12c |
14 | 16343227a |
15 | c740dd30 |
hex | 7f24ffd4 |
2133131220 has 192 divisors, whose sum is σ = 7265422080. Its totient is φ = 515289600.
The previous prime is 2133131213. The next prime is 2133131249. The reversal of 2133131220 is 221313312.
2133131220 is a `hidden beast` number, since 2 + 1 + 331 + 312 + 20 = 666.
It is a super-3 number, since 3×21331312203 (a number of 29 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 = 2133131193 and 2133131202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2500314 + ... + 2501166.
It is an arithmetic number, because the mean of its divisors is an integer number (37840740).
Almost surely, 22133131220 is an apocalyptic number.
2133131220 is a gapful number since it is divisible by the number (20) 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 2133131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632711040).
2133131220 is an abundant number, since it is smaller than the sum of its proper divisors (5132290860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133131220 is a wasteful number, since it uses less digits than its factorization.
2133131220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1303 (or 1295 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2133131220 is about 46185.8335423320. The cubic root of 2133131220 is about 1287.2785243824.
Adding to 2133131220 its reverse (221313312), we get a palindrome (2354444532).
The spelling of 2133131220 in words is "two billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred twenty".
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