| Base | Representation |
|---|---|
| bin | 11101100101101010000011… |
| … | …110001110111010101010000 |
| 3 | 122001202102012012021120001200 |
| 4 | 131211222003301313111100 |
| 5 | 114024032023241134300 |
| 6 | 1140433225453231200 |
| 7 | 36260443466406330 |
| oct | 3545520361672520 |
| 9 | 561672165246050 |
| 10 | 130131130021200 |
| 11 | 38511336426a80 |
| 12 | 12718350192500 |
| 13 | 577c40b5bc1c9 |
| 14 | 241c54777d0c0 |
| 15 | 100a021723200 |
| hex | 765a83c77550 |
130131130021200 has 720 divisors, whose sum is σ = 570952740114432. Its totient is φ = 26659382400000.
The previous prime is 130131130021187. The next prime is 130131130021201. The reversal of 130131130021200 is 2120031131031.
130131130021200 is a `hidden beast` number, since 1 + 30 + 1 + 311 + 300 + 2 + 1 + 20 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×1301311300212003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130131130021201) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16375225 + ... + 22987175.
Almost surely, 2130131130021200 is an apocalyptic number.
130131130021200 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 130131130021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285476370057216).
130131130021200 is an abundant number, since it is smaller than the sum of its proper divisors (440821610093232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130131130021200 is a wasteful number, since it uses less digits than its factorization.
130131130021200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6612064 (or 6612050 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 130131130021200 its reverse (2120031131031), we get a palindrome (132251161152231).
The spelling of 130131130021200 in words is "one hundred thirty trillion, one hundred thirty-one billion, one hundred thirty million, twenty-one thousand, two hundred".
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