Base | Representation |
---|---|
bin | 1001010010011111100000… |
… | …0111100101010111100000 |
3 | 1100011101022102210221201200 |
4 | 2110213320013211113200 |
5 | 2314313314300001344 |
6 | 33415531504201200 |
7 | 2102613044416206 |
oct | 224477007452740 |
9 | 40141272727650 |
10 | 10213300000224 |
11 | 3288488654242 |
12 | 118b4a5609200 |
13 | 591157a472c9 |
14 | 27447d74d076 |
15 | 12aa10d28069 |
hex | 949f81e55e0 |
10213300000224 has 72 divisors (see below), whose sum is σ = 29061601339680. Its totient is φ = 3402378597888.
The previous prime is 10213300000219. The next prime is 10213300000231. The reversal of 10213300000224 is 42200000331201.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×102133000002242 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10213300000197 and 10213300000206.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10223704 + ... + 11178135.
It is an arithmetic number, because the mean of its divisors is an integer number (403633351940).
Almost surely, 210213300000224 is an apocalyptic number.
It is an amenable number.
10213300000224 is an abundant number, since it is smaller than the sum of its proper divisors (18848301339456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10213300000224 is a wasteful number, since it uses less digits than its factorization.
10213300000224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21403512 (or 21403501 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 10213300000224 its reverse (42200000331201), we get a palindrome (52413300331425).
The spelling of 10213300000224 in words is "ten trillion, two hundred thirteen billion, three hundred million, two hundred twenty-four", and thus it is an aban number.
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