Base | Representation |
---|---|
bin | 1001001101000100101011… |
… | …1011010001001011011110 |
3 | 1022211111000010201221001110 |
4 | 2103101022323101023132 |
5 | 2311302132200001342 |
6 | 33305053344122450 |
7 | 2063105663444604 |
oct | 223211273211336 |
9 | 38744003657043 |
10 | 10120200000222 |
11 | 3251a53081284 |
12 | 1175442606426 |
13 | 58543b8ca000 |
14 | 26db6ac57874 |
15 | 1283b2752c9c |
hex | 9344aed12de |
10120200000222 has 128 divisors (see below), whose sum is σ = 23248424908800. Its totient is φ = 2926658262528.
The previous prime is 10120200000193. The next prime is 10120200000223. The reversal of 10120200000222 is 22200000202101.
10120200000222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10120200000198 and 10120200000207.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10120200000223) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162885279 + ... + 162947397.
It is an arithmetic number, because the mean of its divisors is an integer number (181628319600).
Almost surely, 210120200000222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10120200000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624212454400).
10120200000222 is an abundant number, since it is smaller than the sum of its proper divisors (13128224908578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10120200000222 is a wasteful number, since it uses less digits than its factorization.
10120200000222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62907 (or 62881 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 10120200000222 its reverse (22200000202101), we get a palindrome (32320200202323).
The spelling of 10120200000222 in words is "ten trillion, one hundred twenty billion, two hundred million, two hundred twenty-two", and thus it is an aban number.
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