Search a number
-
+
232123032123300 = 2233521910376157727
BaseRepresentation
bin110100110001110101011010…
…110111111011011110100100
31010102212202010012211002202000
4310301311122313323132210
5220411100432210421200
62141403503203045300
766615223061221113
oct6461653267733644
91112782105732660
10232123032123300
1167a6390922042a
122204abb9970830
139c6a15339a646
144146b59771c7a
151bc80bd0d8300
hexd31d5adfb7a4

232123032123300 has 576 divisors, whose sum is σ = 794190235238400. Its totient is φ = 57994956979200.

The previous prime is 232123032123289. The next prime is 232123032123331. The reversal of 232123032123300 is 3321230321232.

232123032123300 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 3 + 0 + 321 + 2 + 330 + 0 = 666.

It is a super-2 number, since 2×2321230321233002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4021019037 + ... + 4021076763.

Almost surely, 2232123032123300 is an apocalyptic number.

232123032123300 is a gapful number since it is divisible by the number (20) 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 232123032123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397095117619200).

232123032123300 is an abundant number, since it is smaller than the sum of its proper divisors (562067203115100).

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

232123032123300 is a wasteful number, since it uses less digits than its factorization.

232123032123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58633 (or 58620 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232123032123300 its reverse (3321230321232), we get a palindrome (235444262444532).

The spelling of 232123032123300 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, thirty-two million, one hundred twenty-three thousand, three hundred".