Search a number
-
+
130660012224 = 263371731103199
BaseRepresentation
bin111100110101111110…
…0011001000011000000
3110111020220212100012000
41321223330121003000
54120042430342344
6140005133304000
712303606531150
oct1715374310300
9414226770160
10130660012224
115045a197085
12213a5935000
13c423852b01
146476dd4760
1535eac87a69
hex1e6bf190c0

130660012224 has 896 divisors, whose sum is σ = 486899712000. Its totient is φ = 33502740480.

The previous prime is 130660012199. The next prime is 130660012237. The reversal of 130660012224 is 422210066031.

130660012224 is a `hidden beast` number, since 1 + 30 + 6 + 600 + 1 + 2 + 2 + 24 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 656582877 + ... + 656583075.

Almost surely, 2130660012224 is an apocalyptic number.

130660012224 is a gapful number since it is divisible by the number (14) 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 130660012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243449856000).

130660012224 is an abundant number, since it is smaller than the sum of its proper divisors (356239699776).

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

130660012224 is a wasteful number, since it uses less digits than its factorization.

130660012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130660012224 its reverse (422210066031), we get a palindrome (552870078255).

It can be divided in two parts, 13066001 and 2224, that added together give a square (13068225 = 36152).

The spelling of 130660012224 in words is "one hundred thirty billion, six hundred sixty million, twelve thousand, two hundred twenty-four".