Search a number
-
+
130231424000 = 210531797617
BaseRepresentation
bin111100101001001100…
…1011101010000000000
3110110011001101210200002
41321102121131100000
54113203221032000
6135454423215132
712260153560616
oct1712231352000
9413131353602
10130231424000
115025a275437
12212a62a74a8
13c385b12002
14643610b6b6
1535c33288d5
hex1e5265d400

130231424000 has 352 divisors, whose sum is σ = 348120418464. Its totient is φ = 48444211200.

The previous prime is 130231423963. The next prime is 130231424023. The reversal of 130231424000 is 424132031.

It can be written as a sum of positive squares in 16 ways, for example, as 111630828544 + 18600595456 = 334112^2 + 136384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211071692 + ... + 211072308.

Almost surely, 2130231424000 is an apocalyptic number.

130231424000 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 130231424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174060209232).

130231424000 is an abundant number, since it is smaller than the sum of its proper divisors (217888994464).

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

130231424000 is an equidigital number, since it uses as much as digits as its factorization.

130231424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130231424000 its reverse (424132031), we get a palindrome (130655556031).

The spelling of 130231424000 in words is "one hundred thirty billion, two hundred thirty-one million, four hundred twenty-four thousand".