Search a number
-
+
12832109323020 = 223351329312033299
BaseRepresentation
bin1011101010111011010101…
…0100010110001100001100
31200102201220202120110101000
42322232311110112030030
53140220124441314040
643142553432420300
72463042426400131
oct272566524261414
950381822513330
1012832109323020
1140a80811a9199
121532b47547690
137210a7a34880
14325112584588
15173bd50e6130
hexbabb551630c

12832109323020 has 384 divisors, whose sum is σ = 45910287360000. Its totient is φ = 2951372712960.

The previous prime is 12832109322953. The next prime is 12832109323079. The reversal of 12832109323020 is 2032390123821.

It is a happy number.

12832109323020 is a `hidden beast` number, since 1 + 2 + 8 + 321 + 0 + 9 + 323 + 0 + 2 + 0 = 666.

12832109323020 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5294331 + ... + 7327629.

It is an arithmetic number, because the mean of its divisors is an integer number (119558040000).

Almost surely, 212832109323020 is an apocalyptic number.

12832109323020 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 12832109323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22955143680000).

12832109323020 is an abundant number, since it is smaller than the sum of its proper divisors (33078178036980).

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

12832109323020 is a wasteful number, since it uses less digits than its factorization.

12832109323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033390 (or 2033382 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 12832109323020 its reverse (2032390123821), we get a palindrome (14864499446841).

It can be divided in two parts, 12832109 and 323020, that added together give a square (13155129 = 36272).

The spelling of 12832109323020 in words is "twelve trillion, eight hundred thirty-two billion, one hundred nine million, three hundred twenty-three thousand, twenty".