Base | Representation |
---|---|
bin | 10010110110011001… |
… | …10100100000000110 |
3 | 222010021121101101110 |
4 | 21123030310200012 |
5 | 131211211201042 |
6 | 4352111105450 |
7 | 505532524245 |
oct | 113314644006 |
9 | 28107541343 |
10 | 10120022022 |
11 | 4323541370 |
12 | 1b65212286 |
13 | c53821416 |
14 | 6c008695c |
15 | 3e36ba09c |
hex | 25b334806 |
10120022022 has 96 divisors (see below), whose sum is σ = 23385231360. Its totient is φ = 2895071040.
The previous prime is 10120022009. The next prime is 10120022071. The reversal of 10120022022 is 22022002101.
10120022022 is a modest number, since divided by 22022 gives 10120 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 10120021989 and 10120022007.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9124804 + ... + 9125912.
It is an arithmetic number, because the mean of its divisors is an integer number (243596160).
Almost surely, 210120022022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10120022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692615680).
10120022022 is an abundant number, since it is smaller than the sum of its proper divisors (13265209338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10120022022 is a wasteful number, since it uses less digits than its factorization.
10120022022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1546 (or 1527 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 10120022022 its reverse (22022002101), we get a palindrome (32142024123).
The spelling of 10120022022 in words is "ten billion, one hundred twenty million, twenty-two thousand, twenty-two".
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