Search a number
-
+
123003424000 = 285367103557
BaseRepresentation
bin111001010001110010…
…0110100110100000000
3102202111022122100200101
41302203210310310000
54003402334032000
6132301302132144
711613065565412
oct1624344646400
9382438570611
10123003424000
1148190254016
121ba09721054
13b7a34ca232
145d4c1a09b2
1532ed9c3e6a
hex1ca3934d00

123003424000 has 288 divisors, whose sum is σ = 314573366016. Its totient is φ = 47910297600.

The previous prime is 123003423989. The next prime is 123003424001. The reversal of 123003424000 is 424300321.

123003424000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123003424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220831722 + ... + 220832278.

It is an arithmetic number, because the mean of its divisors is an integer number (1092268632).

Almost surely, 2123003424000 is an apocalyptic number.

123003424000 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 123003424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157286683008).

123003424000 is an abundant number, since it is smaller than the sum of its proper divisors (191569942016).

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

123003424000 is an equidigital number, since it uses as much as digits as its factorization.

123003424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 123003424000 its reverse (424300321), we get a palindrome (123427724321).

The spelling of 123003424000 in words is "one hundred twenty-three billion, three million, four hundred twenty-four thousand".