Base | Representation |
---|---|
bin | 10111100010011011110110… |
… | …001001111000010010110000 |
3 | 111120112112220120001020000222 |
4 | 113202123312021320102300 |
5 | 102032043342434200300 |
6 | 1004101031130032212 |
7 | 30543114402363263 |
oct | 2742336611702260 |
9 | 446475816036028 |
10 | 103521431553200 |
11 | 2aa9221334a491 |
12 | b73b191b78668 |
13 | 459c04bc46c2b |
14 | 1b7c66d3bacda |
15 | be7c6b3db785 |
hex | 5e26f62784b0 |
103521431553200 has 240 divisors, whose sum is σ = 259268784128640. Its totient is φ = 39689223383040.
The previous prime is 103521431553181. The next prime is 103521431553209. The reversal of 103521431553200 is 2355134125301.
It is a happy number.
103521431553200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (103521431553209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571241804 + ... + 571422996.
It is an arithmetic number, because the mean of its divisors is an integer number (1080286600536).
Almost surely, 2103521431553200 is an apocalyptic number.
103521431553200 is a gapful number since it is divisible by the number (10) 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 103521431553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634392064320).
103521431553200 is an abundant number, since it is smaller than the sum of its proper divisors (155747352575440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103521431553200 is a wasteful number, since it uses less digits than its factorization.
103521431553200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 181876 (or 181865 counting only the distinct ones).
The product of its (nonzero) digits is 54000, while the sum is 35.
Adding to 103521431553200 its reverse (2355134125301), we get a palindrome (105876565678501).
The spelling of 103521431553200 in words is "one hundred three trillion, five hundred twenty-one billion, four hundred thirty-one million, five hundred fifty-three thousand, two hundred".
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