Search a number
-
+
130220131320000 = 2632542315727069
BaseRepresentation
bin11101100110111100111100…
…101010111000000011000000
3122002001220220211220222200200
4131212330330222320003000
5114032011312104220000
61140542145200045200
736300044151101511
oct3546747452700300
9562056824828620
10130220131320000
1138546058331077
121273164a603800
13578792353a517
14242298bb8aa08
15100c4d0078500
hex766f3cab80c0

130220131320000 has 420 divisors, whose sum is σ = 486695318332080. Its totient is φ = 33215567616000.

The previous prime is 130220131319987. The next prime is 130220131320079. The reversal of 130220131320000 is 23131022031.

130220131320000 is a `hidden beast` number, since 130 + 2 + 20 + 1 + 313 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 416466 + ... + 16143534.

Almost surely, 2130220131320000 is an apocalyptic number.

130220131320000 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 130220131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243347659166040).

130220131320000 is an abundant number, since it is smaller than the sum of its proper divisors (356475187012080).

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

130220131320000 is a wasteful number, since it uses less digits than its factorization.

130220131320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727130 (or 15727102 counting only the distinct ones).

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

Adding to 130220131320000 its reverse (23131022031), we get a palindrome (130243262342031).

The spelling of 130220131320000 in words is "one hundred thirty trillion, two hundred twenty billion, one hundred thirty-one million, three hundred twenty thousand".