Base | Representation |
---|---|
bin | 11000010000010101… |
… | …11111001111100100 |
3 | 1020121112012010221000 |
4 | 30020022333033210 |
5 | 203132113000400 |
6 | 5552054353300 |
7 | 640461113604 |
oct | 141012771744 |
9 | 36545163830 |
10 | 13022000100 |
11 | 558264145a |
12 | 263505b830 |
13 | 12c6b05605 |
14 | 8b7654c04 |
15 | 51334a600 |
hex | 3082bf3e4 |
13022000100 has 72 divisors (see below), whose sum is σ = 41863327520. Its totient is φ = 3472532640.
The previous prime is 13022000087. The next prime is 13022000129. The reversal of 13022000100 is 100022031.
It is a happy number.
13022000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2408782 + ... + 2414181.
Almost surely, 213022000100 is an apocalyptic number.
13022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13022000100 is an abundant number, since it is smaller than the sum of its proper divisors (28841327420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13022000100 is a wasteful number, since it uses less digits than its factorization.
13022000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4822986 (or 4822973 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 13022000100 its reverse (100022031), we get a palindrome (13122022131).
The spelling of 13022000100 in words is "thirteen billion, twenty-two million, one hundred", and thus it is an aban number.
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