Base | Representation |
---|---|
bin | 11110110110101101… |
… | …010100000011101100 |
3 | 10011111220010121111121 |
4 | 132312231110003230 |
5 | 1020322301244040 |
6 | 23115245030324 |
7 | 2251665141430 |
oct | 366655240354 |
9 | 104456117447 |
10 | 33130103020 |
11 | 13061096833 |
12 | 65072553a4 |
13 | 317c9ccc71 |
14 | 186403a9c0 |
15 | cdd81bc4a |
hex | 7b6b540ec |
33130103020 has 96 divisors (see below), whose sum is σ = 80024128128. Its totient is φ = 11286024192.
The previous prime is 33130103009. The next prime is 33130103021. The reversal of 33130103020 is 2030103133.
It is a super-2 number, since 2×331301030202 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 33130102985 and 33130103003.
It is not an unprimeable number, because it can be changed into a prime (33130103021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16790754 + ... + 16792726.
It is an arithmetic number, because the mean of its divisors is an integer number (833584668).
Almost surely, 233130103020 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 33130103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40012064064).
33130103020 is an abundant number, since it is smaller than the sum of its proper divisors (46894025108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33130103020 is a wasteful number, since it uses less digits than its factorization.
33130103020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 16.
Adding to 33130103020 its reverse (2030103133), we get a palindrome (35160206153).
The spelling of 33130103020 in words is "thirty-three billion, one hundred thirty million, one hundred three thousand, twenty".
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