Base | Representation |
---|---|
bin | 11101111010101011… |
… | …111100011100110100 |
3 | 10001220201022010110000 |
4 | 131322223330130310 |
5 | 1011242004024340 |
6 | 22431313431300 |
7 | 2215016640324 |
oct | 357253743464 |
9 | 101821263400 |
10 | 32123111220 |
11 | 12694727a02 |
12 | 6285b6b530 |
13 | 304c1b5525 |
14 | 17aa3cd284 |
15 | c80208d30 |
hex | 77aafc734 |
32123111220 has 120 divisors (see below), whose sum is σ = 100951389000. Its totient is φ = 8550862848.
The previous prime is 32123111203. The next prime is 32123111227. The reversal of 32123111220 is 2211132123.
32123111220 is a `hidden beast` number, since 321 + 2 + 311 + 12 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 891739044 + 31231372176 = 29862^2 + 176724^2 .
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 = 32123111193 and 32123111202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32123111227) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 904356 + ... + 939204.
It is an arithmetic number, because the mean of its divisors is an integer number (841261575).
Almost surely, 232123111220 is an apocalyptic number.
32123111220 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 32123111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50475694500).
32123111220 is an abundant number, since it is smaller than the sum of its proper divisors (68828277780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32123111220 is a wasteful number, since it uses less digits than its factorization.
32123111220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35439 (or 35428 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 32123111220 its reverse (2211132123), we get a palindrome (34334243343).
The spelling of 32123111220 in words is "thirty-two billion, one hundred twenty-three million, one hundred eleven thousand, two hundred twenty".
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