Search a number
-
+
131020420443000 = 23353118214835951
BaseRepresentation
bin11101110010100110010001…
…100111100110101101111000
3122011220102121101002200212120
4131302212101213212231320
5114133114310113134000
61142353541125241240
736411625105311654
oct3562462147465570
9564812541080776
10131020420443000
11388244a27101a0
1212840775863220
135815232376b9a
14244d5ca693a64
15102321d92b6a0
hex7729919e6b78

131020420443000 has 256 divisors, whose sum is σ = 446489133742080. Its totient is φ = 31723832000000.

The previous prime is 131020420442983. The next prime is 131020420443013. The reversal of 131020420443000 is 344024020131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24675025 + ... + 29510975.

It is an arithmetic number, because the mean of its divisors is an integer number (1744098178680).

Almost surely, 2131020420443000 is an apocalyptic number.

131020420443000 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 131020420443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223244566871040).

131020420443000 is an abundant number, since it is smaller than the sum of its proper divisors (315468713299080).

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

131020420443000 is a wasteful number, since it uses less digits than its factorization.

131020420443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836807 (or 4836793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131020420443000 its reverse (344024020131), we get a palindrome (131364444463131).

The spelling of 131020420443000 in words is "one hundred thirty-one trillion, twenty billion, four hundred twenty million, four hundred forty-three thousand".