Search a number
-
+
12231031302000 = 2432537677389223
BaseRepresentation
bin1011000111111100001001…
…0001101010011101110000
31121022021102121020021001100
42301333002101222131300
53100343123003131000
642002505212404400
72401443233456520
oct261770221523560
947267377207040
1012231031302000
113996173342535
121456557776700
136a94c5950804
14303db1083680
151632557d4a00
hexb1fc246a770

12231031302000 has 1920 divisors, whose sum is σ = 51021214433280. Its totient is φ = 2673650073600.

The previous prime is 12231031301987. The next prime is 12231031302031. The reversal of 12231031302000 is 20313013221.

12231031302000 is a `hidden beast` number, since 1 + 22 + 310 + 3 + 130 + 200 + 0 = 666.

12231031302000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54847673889 + ... + 54847674111.

It is an arithmetic number, because the mean of its divisors is an integer number (26573549184).

Almost surely, 212231031302000 is an apocalyptic number.

12231031302000 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 12231031302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25510607216640).

12231031302000 is an abundant number, since it is smaller than the sum of its proper divisors (38790183131280).

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

12231031302000 is a wasteful number, since it uses less digits than its factorization.

12231031302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12231031302000 its reverse (20313013221), we get a palindrome (12251344315221).

The spelling of 12231031302000 in words is "twelve trillion, two hundred thirty-one billion, thirty-one million, three hundred two thousand".