Search a number
-
+
130350831120 = 24345233189317
BaseRepresentation
bin111100101100110000…
…0111101011000010000
3110110110101002022110000
41321121200331120100
54113424303043440
6135514330410000
712263133532416
oct1713140753020
9413411068400
10130350831120
1150310711804
122131a290900
13c3a478c103
146447d112b6
1535cda63730
hex1e5983d610

130350831120 has 800 divisors, whose sum is σ = 494685480960. Its totient is φ = 31714467840.

The previous prime is 130350831101. The next prime is 130350831199. The reversal of 130350831120 is 21138053031.

130350831120 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 508 + 31 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 411201202 + ... + 411201518.

Almost surely, 2130350831120 is an apocalyptic number.

130350831120 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 130350831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247342740480).

130350831120 is an abundant number, since it is smaller than the sum of its proper divisors (364334649840).

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

130350831120 is a wasteful number, since it uses less digits than its factorization.

130350831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130350831120 its reverse (21138053031), we get a palindrome (151488884151).

The spelling of 130350831120 in words is "one hundred thirty billion, three hundred fifty million, eight hundred thirty-one thousand, one hundred twenty".