Search a number
-
+
12332033023320 = 23325232266965701
BaseRepresentation
bin1011001101110100011001…
…1100101001110101011000
31121122221010120210022121200
42303131012130221311120
53104022000423221240
642121131402034200
72411650163105403
oct263350634516530
947587116708550
1012332033023320
113a24a9316769a
121472044aa8960
136b5ba0b50a5a
14308c3317cd3a
15165bb7940930
hexb3746729d58

12332033023320 has 192 divisors, whose sum is σ = 41824158667200. Its totient is φ = 3145375411200.

The previous prime is 12332033023273. The next prime is 12332033023333. The reversal of 12332033023320 is 2332033023321.

12332033023320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 0 + 330 + 2 + 3 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187666470 + ... + 187732170.

It is an arithmetic number, because the mean of its divisors is an integer number (217834159725).

Almost surely, 212332033023320 is an apocalyptic number.

12332033023320 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 12332033023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912079333600).

12332033023320 is an abundant number, since it is smaller than the sum of its proper divisors (29492125643880).

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

12332033023320 is a wasteful number, since it uses less digits than its factorization.

12332033023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88410 (or 88403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 12332033023320 its reverse (2332033023321), we get a palindrome (14664066046641).

Subtracting from 12332033023320 its reverse (2332033023321), we obtain a palindrome (9999999999999).

The spelling of 12332033023320 in words is "twelve trillion, three hundred thirty-two billion, thirty-three million, twenty-three thousand, three hundred twenty".