Base | Representation |
---|---|
bin | 1001101011111111111011… |
… | …11011010111111101000000 |
3 | 2210102112202220112020102100 |
4 | 10311333331323113331000 |
5 | 10243012022233133440 |
6 | 113150244154550400 |
7 | 4326043162661022 |
oct | 465777573277500 |
9 | 83375686466370 |
10 | 21303003021120 |
11 | 6873609923467 |
12 | 24807b8738400 |
13 | bb6b315ac842 |
14 | 5390dc598012 |
15 | 26e21774a230 |
hex | 135ffded7f40 |
21303003021120 has 168 divisors, whose sum is σ = 73294228875816. Its totient is φ = 5679190167552.
The previous prime is 21303003021007. The next prime is 21303003021127. The reversal of 21303003021120 is 2112030030312.
21303003021120 is a `hidden beast` number, since 2 + 1 + 30 + 300 + 302 + 11 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1890449004096 + 19412554017024 = 1374936^2 + 4405968^2 .
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 = 21303003021093 and 21303003021102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21303003021127) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9128214 + ... + 11221866.
Almost surely, 221303003021120 is an apocalyptic number.
21303003021120 is a gapful number since it is divisible by the number (20) 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 21303003021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36647114437908).
21303003021120 is an abundant number, since it is smaller than the sum of its proper divisors (51991225854696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21303003021120 is a wasteful number, since it uses less digits than its factorization.
21303003021120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2097209 (or 2097196 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 21303003021120 its reverse (2112030030312), we get a palindrome (23415033051432).
The spelling of 21303003021120 in words is "twenty-one trillion, three hundred three billion, three million, twenty-one thousand, one hundred twenty".
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