Base | Representation |
---|---|
bin | 11110110110000111… |
… | …001100110111111010 |
3 | 10011111012100000120100 |
4 | 132312013030313322 |
5 | 1020312222041442 |
6 | 23114250540230 |
7 | 2251514210436 |
oct | 366607146772 |
9 | 104435300510 |
10 | 33120112122 |
11 | 13056492499 |
12 | 6503a37676 |
13 | 317a9125a6 |
14 | 18629999c6 |
15 | cdc9e684c |
hex | 7b61ccdfa |
33120112122 has 12 divisors (see below), whose sum is σ = 71760242970. Its totient is φ = 11040037368.
The previous prime is 33120112057. The next prime is 33120112127. The reversal of 33120112122 is 22121102133.
33120112122 is a `hidden beast` number, since 331 + 201 + 12 + 122 = 666.
It can be written as a sum of positive squares in only one way, i.e., 29176397721 + 3943714401 = 170811^2 + 62799^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1840006229 = 33120112122 / (3 + 3 + 1 + 2 + 0 + 1 + 1 + 2 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 33120112095 and 33120112104.
It is not an unprimeable number, because it can be changed into a prime (33120112127) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 920003097 + ... + 920003132.
Almost surely, 233120112122 is an apocalyptic number.
33120112122 is an abundant number, since it is smaller than the sum of its proper divisors (38640130848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33120112122 is a wasteful number, since it uses less digits than its factorization.
33120112122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1840006237 (or 1840006234 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 33120112122 its reverse (22121102133), we get a palindrome (55241214255).
It can be divided in two parts, 3312011 and 2122, that added together give a palindrome (3314133).
The spelling of 33120112122 in words is "thirty-three billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-two".
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