Base | Representation |
---|---|
bin | 101110101010110010… |
… | …1101110010001000010 |
3 | 100120200111222122212100 |
4 | 1131111211232101002 |
5 | 3120222332400002 |
6 | 114012430411230 |
7 | 10145356434006 |
oct | 1352545562102 |
9 | 316614878770 |
10 | 100220200002 |
11 | 3955976567a |
12 | 1750b660b16 |
13 | 95b231a1c0 |
14 | 4bca3c0706 |
15 | 291873411c |
hex | 175596e442 |
100220200002 has 96 divisors (see below), whose sum is σ = 239955586416. Its totient is φ = 30034022400.
The previous prime is 100220200001. The next prime is 100220200009. The reversal of 100220200002 is 200002022001.
It can be written as a sum of positive squares in 8 ways, for example, as 3311887401 + 96908312601 = 57549^2 + 311301^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (100220200001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5872602 + ... + 5889642.
Almost surely, 2100220200002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100220200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119977793208).
100220200002 is an abundant number, since it is smaller than the sum of its proper divisors (139735386414).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100220200002 is a wasteful number, since it uses less digits than its factorization.
100220200002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17716 (or 17713 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
Adding to 100220200002 its reverse (200002022001), we get a palindrome (300222222003).
The spelling of 100220200002 in words is "one hundred billion, two hundred twenty million, two hundred thousand, two".
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