Base | Representation |
---|---|
bin | 101111100011110010… |
… | …0010001000110100000 |
3 | 100202121210011112222011 |
4 | 1133013210101012200 |
5 | 3133131344433044 |
6 | 114530300122304 |
7 | 10243636153264 |
oct | 1370744210640 |
9 | 322553145864 |
10 | 102132421024 |
11 | 3a3500a8627 |
12 | 17963b36394 |
13 | 982853c52a |
14 | 4d2c34a0a4 |
15 | 29cb558134 |
hex | 17c79111a0 |
102132421024 has 96 divisors (see below), whose sum is σ = 219135974400. Its totient is φ = 46674800640.
The previous prime is 102132421021. The next prime is 102132421133. The reversal of 102132421024 is 420124231201.
It is a junction number, because it is equal to n+sod(n) for n = 102132420986 and 102132421004.
It is not an unprimeable number, because it can be changed into a prime (102132421021) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2602057 + ... + 2641015.
It is an arithmetic number, because the mean of its divisors is an integer number (2282666400).
Almost surely, 2102132421024 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 102132421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109567987200).
102132421024 is an abundant number, since it is smaller than the sum of its proper divisors (117003553376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102132421024 is a wasteful number, since it uses less digits than its factorization.
102132421024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39126 (or 39118 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
Adding to 102132421024 its reverse (420124231201), we get a palindrome (522256652225).
The spelling of 102132421024 in words is "one hundred two billion, one hundred thirty-two million, four hundred twenty-one thousand, twenty-four".
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