Base | Representation |
---|---|
bin | 101111100010110100… |
… | …1000110000110001000 |
3 | 100202112112102010001222 |
4 | 1133011221012012020 |
5 | 3133100113212412 |
6 | 114523144101212 |
7 | 10243064543000 |
oct | 1370551060610 |
9 | 322475363058 |
10 | 102100132232 |
11 | 3a33395457a |
12 | 17955164808 |
13 | 9821945837 |
14 | 4d27d43000 |
15 | 29c87cb072 |
hex | 17c5a46188 |
102100132232 has 128 divisors (see below), whose sum is σ = 233333568000. Its totient is φ = 41787212544.
The previous prime is 102100132229. The next prime is 102100132247. The reversal of 102100132232 is 232231001201.
102100132232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 102100132232.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63931658 + ... + 63933254.
It is an arithmetic number, because the mean of its divisors is an integer number (1822918500).
Almost surely, 2102100132232 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 102100132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116666784000).
102100132232 is an abundant number, since it is smaller than the sum of its proper divisors (131233435768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102100132232 is a wasteful number, since it uses less digits than its factorization.
102100132232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2660 (or 2642 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 102100132232 its reverse (232231001201), we get a palindrome (334331133433).
The spelling of 102100132232 in words is "one hundred two billion, one hundred million, one hundred thirty-two thousand, two hundred thirty-two".
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