Base | Representation |
---|---|
bin | 1001000110001001110101… |
… | …0000100100000101100000 |
3 | 1022102010011100020111120000 |
4 | 2101202131100210011200 |
5 | 2302330201442330422 |
6 | 33134313301020000 |
7 | 2051400042202503 |
oct | 221423520440540 |
9 | 38363140214500 |
10 | 10001322230112 |
11 | 320659a735084 |
12 | 11563a66b4600 |
13 | 5771750779c5 |
14 | 2680d099913a |
15 | 125256074cac |
hex | 9189d424160 |
10001322230112 has 240 divisors, whose sum is σ = 29698488388800. Its totient is φ = 3301506853632.
The previous prime is 10001322230111. The next prime is 10001322230131. The reversal of 10001322230112 is 21103222310001.
10001322230112 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 322 + 230 + 112 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001322230111) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1449673639 + ... + 1449680537.
It is an arithmetic number, because the mean of its divisors is an integer number (123743701620).
Almost surely, 210001322230112 is an apocalyptic number.
10001322230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10001322230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849244194400).
10001322230112 is an abundant number, since it is smaller than the sum of its proper divisors (19697166158688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001322230112 is a wasteful number, since it uses less digits than its factorization.
10001322230112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12255 (or 12238 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10001322230112 its reverse (21103222310001), we get a palindrome (31104544540113).
The spelling of 10001322230112 in words is "ten trillion, one billion, three hundred twenty-two million, two hundred thirty thousand, one hundred twelve".
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