Base | Representation |
---|---|
bin | 1010000001001111101011… |
… | …11011010100101000010100 |
3 | 2220000100001120112012121202 |
4 | 11000213311323110220110 |
5 | 10341442102341330400 |
6 | 114505454311132032 |
7 | 4432555415243135 |
oct | 500476573245024 |
9 | 86010046465552 |
10 | 22033013230100 |
11 | 702516a629264 |
12 | 257a18b674018 |
13 | c3a920277592 |
14 | 562591403c8c |
15 | 2831e12964d5 |
hex | 1409f5ed4a14 |
22033013230100 has 72 divisors (see below), whose sum is σ = 49476244906200. Its totient is φ = 8506561190400.
The previous prime is 22033013230099. The next prime is 22033013230127. The reversal of 22033013230100 is 103231033022.
It can be written as a sum of positive squares in 12 ways, for example, as 12186885504784 + 9846127725316 = 3490972^2 + 3137854^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794230 + ... + 10237970.
Almost surely, 222033013230100 is an apocalyptic number.
22033013230100 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 22033013230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738122453100).
22033013230100 is an abundant number, since it is smaller than the sum of its proper divisors (27443231676100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22033013230100 is a wasteful number, since it uses less digits than its factorization.
22033013230100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2446893 (or 2446886 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 22033013230100 its reverse (103231033022), we get a palindrome (22136244263122).
The spelling of 22033013230100 in words is "twenty-two trillion, thirty-three billion, thirteen million, two hundred thirty thousand, one hundred".
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