Base | Representation |
---|---|
bin | 1010100011100000001111… |
… | …00011011110111110110000 |
3 | 10001011212101212102021222000 |
4 | 11101300013203132332300 |
5 | 11020233321240310112 |
6 | 121210330405014000 |
7 | 4613606441626650 |
oct | 521600743367660 |
9 | 101155355367860 |
10 | 23210130010032 |
11 | 74393a7338429 |
12 | 272a3416b4300 |
13 | cc4923a40484 |
14 | 5a353a75c360 |
15 | 2a3b3703d7dc |
hex | 151c078defb0 |
23210130010032 has 640 divisors, whose sum is σ = 83817215354880. Its totient is φ = 5998231388160.
The previous prime is 23210130010027. The next prime is 23210130010033. The reversal of 23210130010032 is 23001003101232.
23210130010032 is a `hidden beast` number, since 2 + 321 + 0 + 1 + 300 + 10 + 0 + 32 = 666.
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 = 23210130009987 and 23210130010014.
It is not an unprimeable number, because it can be changed into a prime (23210130010033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141135598 + ... + 141299954.
It is an arithmetic number, because the mean of its divisors is an integer number (130964398992).
Almost surely, 223210130010032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23210130010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41908607677440).
23210130010032 is an abundant number, since it is smaller than the sum of its proper divisors (60607085344848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23210130010032 is a wasteful number, since it uses less digits than its factorization.
23210130010032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164506 (or 164494 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 23210130010032 its reverse (23001003101232), we get a palindrome (46211133111264).
The spelling of 23210130010032 in words is "twenty-three trillion, two hundred ten billion, one hundred thirty million, ten thousand, thirty-two".
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