Search a number
-
+
130385324160 = 273657133783
BaseRepresentation
bin111100101101110010…
…0100010100010000000
3110110112202222202000000
41321123210202202000
54114012120333120
6135522002000000
712264032653260
oct1713344424200
9413482882000
10130385324160
1150329130953
1221329946000
13c3ab9781b0
14644c72d7a0
1535d1ac8990
hex1e5b922880

130385324160 has 1792 divisors, whose sum is σ = 597850364160. Its totient is φ = 26443874304.

The previous prime is 130385324159. The next prime is 130385324183. The reversal of 130385324160 is 61423583031.

130385324160 is a `hidden beast` number, since 1 + 30 + 38 + 532 + 4 + 1 + 60 = 666.

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 223 ways as a sum of consecutive naturals, for example, 1570907479 + ... + 1570907561.

It is an arithmetic number, because the mean of its divisors is an integer number (333621855).

Almost surely, 2130385324160 is an apocalyptic number.

130385324160 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 130385324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298925182080).

130385324160 is an abundant number, since it is smaller than the sum of its proper divisors (467465040000).

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

130385324160 is an equidigital number, since it uses as much as digits as its factorization.

130385324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130385324160 in words is "one hundred thirty billion, three hundred eighty-five million, three hundred twenty-four thousand, one hundred sixty".