Search a number
-
+
120433500000 = 25335611811
BaseRepresentation
bin111000000101001100…
…1010101111101100000
3102111212012212200201000
41300022121111331200
53433121434000000
6131154255512000
711462311600542
oct1601231257540
9374765780630
10120433500000
1147091631090
121b410b28600
13b483c57a48
145b86b4b692
1531ed085000
hex1c0a655f60

120433500000 has 672 divisors, whose sum is σ = 479581361280. Its totient is φ = 29160000000.

The previous prime is 120433499987. The next prime is 120433500007. The reversal of 120433500000 is 5334021.

120433500000 is a `hidden beast` number, since 120 + 43 + 3 + 500 + 0 + 0 + 0 = 666.

120433500000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120433500007) 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 111 ways as a sum of consecutive naturals, for example, 148499595 + ... + 148500405.

It is an arithmetic number, because the mean of its divisors is an integer number (713662740).

Almost surely, 2120433500000 is an apocalyptic number.

120433500000 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 120433500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239790680640).

120433500000 is an abundant number, since it is smaller than the sum of its proper divisors (359147861280).

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

120433500000 is an frugal number, since it uses more digits than its factorization.

120433500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 120433500000 its reverse (5334021), we get a palindrome (120438834021).

The spelling of 120433500000 in words is "one hundred twenty billion, four hundred thirty-three million, five hundred thousand".