Search a number
-
+
12022023003300 = 223252113187363113
BaseRepresentation
bin1010111011110001100001…
…1010010001110010100100
31120120021221110020120212100
42232330120122101302210
53033432100342101200
641322501403252100
72350363636316142
oct256743032216244
946507843216770
1012022023003300
113915569632182
121421b4721a030
13692897236c9b
142d7c2482a592
1515cac1594d00
hexaef18691ca4

12022023003300 has 216 divisors, whose sum is σ = 38036734883784. Its totient is φ = 3175755448320.

The previous prime is 12022023003253. The next prime is 12022023003311. The reversal of 12022023003300 is 330032022021.

It is a happy number.

12022023003300 is a `hidden beast` number, since 12 + 0 + 2 + 20 + 2 + 300 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11709700739136 + 312322264164 = 3421944^2 + 558858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190452544 + ... + 190515656.

Almost surely, 212022023003300 is an apocalyptic number.

12022023003300 is a gapful number since it is divisible by the number (10) 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 12022023003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018367441892).

12022023003300 is an abundant number, since it is smaller than the sum of its proper divisors (26014711880484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12022023003300 is a wasteful number, since it uses less digits than its factorization.

12022023003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65119 (or 65109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12022023003300 its reverse (330032022021), we get a palindrome (12352055025321).

The spelling of 12022023003300 in words is "twelve trillion, twenty-two billion, twenty-three million, three thousand, three hundred".