Base | Representation |
---|---|
bin | 101111000010101010… |
… | …0100100100100101110 |
3 | 100122202022212000222010 |
4 | 1132011110210210232 |
5 | 3123342334311342 |
6 | 114224114502050 |
7 | 10204252263456 |
oct | 1360524444456 |
9 | 318668760863 |
10 | 101021010222 |
11 | 3992a7aa200 |
12 | 176b3894926 |
13 | 96ac1c4ac2 |
14 | 4c648bad66 |
15 | 2963bbb29c |
hex | 178552492e |
101021010222 has 96 divisors (see below), whose sum is σ = 237473806752. Its totient is φ = 28526080000.
The previous prime is 101021010203. The next prime is 101021010247. The reversal of 101021010222 is 222010120101.
It is a junction number, because it is equal to n+sod(n) for n = 101021010198 and 101021010207.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206022 + ... + 1287062.
It is an arithmetic number, because the mean of its divisors is an integer number (2473685487).
Almost surely, 2101021010222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101021010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118736903376).
101021010222 is an abundant number, since it is smaller than the sum of its proper divisors (136452796530).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101021010222 is a wasteful number, since it uses less digits than its factorization.
101021010222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81186 (or 81175 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 101021010222 its reverse (222010120101), we get a palindrome (323031130323).
The spelling of 101021010222 in words is "one hundred one billion, twenty-one million, ten thousand, two hundred twenty-two".
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