Base | Representation |
---|---|
bin | 1010000001001010010100… |
… | …01100110001011001100001 |
3 | 2220000001121210012211000000 |
4 | 11000211022030301121201 |
5 | 10341420202310420413 |
6 | 114504300351050213 |
7 | 4432424132241513 |
oct | 500451214613141 |
9 | 86001553184000 |
10 | 22030132123233 |
11 | 7023a21294003 |
12 | 2579706810969 |
13 | c3a5813c0210 |
14 | 56239a909bb3 |
15 | 2830c338a073 |
hex | 14094a331661 |
22030132123233 has 56 divisors (see below), whose sum is σ = 35596792810152. Its totient is φ = 13547122380288.
The previous prime is 22030132123213. The next prime is 22030132123277. The reversal of 22030132123233 is 33232123103022.
22030132123233 is a `hidden beast` number, since 2 + 2 + 0 + 301 + 3 + 2 + 123 + 233 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 696236710464 + 21333895412769 = 834408^2 + 4618863^2 .
It is not a de Polignac number, because 22030132123233 - 26 = 22030132123169 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 22030132123197 and 22030132123206.
It is not an unprimeable number, because it can be changed into a prime (22030132123213) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12165385 + ... + 13858457.
It is an arithmetic number, because the mean of its divisors is an integer number (635657014467).
Almost surely, 222030132123233 is an apocalyptic number.
It is an amenable number.
22030132123233 is a deficient number, since it is larger than the sum of its proper divisors (13566660686919).
22030132123233 is a wasteful number, since it uses less digits than its factorization.
22030132123233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1694477 (or 1694462 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 22030132123233 its reverse (33232123103022), we get a palindrome (55262255226255).
The spelling of 22030132123233 in words is "twenty-two trillion, thirty billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred thirty-three".
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