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130020331200 = 26352113239713
BaseRepresentation
bin111100100010111010…
…0001100111011000000
3110102121100012011210020
41321011310030323000
54112240201044300
6135421442533440
712252011402664
oct1710564147300
9412540164706
10130020331200
11501610a6281
1221247667280
13c351172926
14641607c8a4
1535aea2c8a0
hex1e45d0cec0

130020331200 has 168 divisors, whose sum is σ = 430351832208. Its totient is φ = 34365112320.

The previous prime is 130020331187. The next prime is 130020331249. The reversal of 130020331200 is 2133020031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130020331200.

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 23 ways as a sum of consecutive naturals, for example, 422544 + ... + 662256.

Almost surely, 2130020331200 is an apocalyptic number.

130020331200 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 130020331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215175916104).

130020331200 is an abundant number, since it is smaller than the sum of its proper divisors (300331501008).

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

130020331200 is a wasteful number, since it uses less digits than its factorization.

130020331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239851 (or 239836 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130020331200 its reverse (2133020031), we get a palindrome (132153351231).

The spelling of 130020331200 in words is "one hundred thirty billion, twenty million, three hundred thirty-one thousand, two hundred".