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20302123221 = 3237731018269
BaseRepresentation
bin10010111010000110…
…011101000011010101
31221101220000201101200
4102322012131003111
5313034320420341
613154320543113
71316051125422
oct227206350325
957356021350
1020302123221
118679023736
123b27181a99
131bb7169c83
14da848cd49
157dc548db6
hex4ba19d0d5

20302123221 has 48 divisors (see below), whose sum is σ = 30836448240. Its totient is φ = 12858393600.

The previous prime is 20302123141. The next prime is 20302123223. The reversal of 20302123221 is 12232120302.

20302123221 is a `hidden beast` number, since 20 + 302 + 123 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10523682225 + 9778440996 = 102585^2 + 98886^2 .

It is not a de Polignac number, because 20302123221 - 223 = 20293734613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20302123194 and 20302123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302123223) 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 47 ways as a sum of consecutive naturals, for example, 2451075 + ... + 2459343.

It is an arithmetic number, because the mean of its divisors is an integer number (642426005).

Almost surely, 220302123221 is an apocalyptic number.

It is an amenable number.

20302123221 is a deficient number, since it is larger than the sum of its proper divisors (10534325019).

20302123221 is a wasteful number, since it uses less digits than its factorization.

20302123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20302123221 its reverse (12232120302), we get a palindrome (32534243523).

The spelling of 20302123221 in words is "twenty billion, three hundred two million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 37 73 101 111 219 303 333 657 909 2701 3737 7373 8103 8269 11211 22119 24309 24807 33633 66357 74421 272801 305953 603637 818403 835169 917859 1810911 2455209 2505507 2753577 5432733 7516521 22334569 30901253 60967337 67003707 92703759 182902011 201011121 278111277 548706033 2255791469 6767374407 20302123221