Base | Representation |
---|---|
bin | 110000000001010000… |
… | …0001011011110001100 |
3 | 100212011200201222202210 |
4 | 1200002200023132030 |
5 | 3142143012031012 |
6 | 115212341150420 |
7 | 10310303531631 |
oct | 1400240133614 |
9 | 325150658683 |
10 | 103121205132 |
11 | 3a808260780 |
12 | 17b9b0bb410 |
13 | 995535059a |
14 | 4dc37b8188 |
15 | 2a3827123c |
hex | 180280b78c |
103121205132 has 96 divisors (see below), whose sum is σ = 264711896064. Its totient is φ = 30984782400.
The previous prime is 103121205119. The next prime is 103121205133. The reversal of 103121205132 is 231502121301.
It is a junction number, because it is equal to n+sod(n) for n = 103121205099 and 103121205108.
It is not an unprimeable number, because it can be changed into a prime (103121205133) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38092923 + ... + 38095629.
It is an arithmetic number, because the mean of its divisors is an integer number (2757415584).
Almost surely, 2103121205132 is an apocalyptic number.
103121205132 is a gapful number since it is divisible by the number (12) 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 103121205132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132355948032).
103121205132 is an abundant number, since it is smaller than the sum of its proper divisors (161590690932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103121205132 is a wasteful number, since it uses less digits than its factorization.
103121205132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 21.
Adding to 103121205132 its reverse (231502121301), we get a palindrome (334623326433).
The spelling of 103121205132 in words is "one hundred three billion, one hundred twenty-one million, two hundred five thousand, one hundred thirty-two".
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