| Base | Representation |
|---|---|
| bin | 111101000100000010… |
| … | …1010001001001010000 |
| 3 | 110112110211011221111220 |
| 4 | 1322020011101021100 |
| 5 | 4122024304214300 |
| 6 | 140124040005040 |
| 7 | 12321401316642 |
| oct | 1721005211120 |
| 9 | 415424157456 |
| 10 | 131132101200 |
| 11 | 5068171a561 |
| 12 | 214b7a60780 |
| 13 | c49a5b49b9 |
| 14 | 64bd9a2892 |
| 15 | 362743ada0 |
| hex | 1e88151250 |
131132101200 has 240 divisors, whose sum is σ = 425400719040. Its totient is φ = 34526269440.
The previous prime is 131132101181. The next prime is 131132101201. The reversal of 131132101200 is 2101231131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
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 131132101200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131132101201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40938799 + ... + 40942001.
It is an arithmetic number, because the mean of its divisors is an integer number (1772502996).
Almost surely, 2131132101200 is an apocalyptic number.
131132101200 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 131132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212700359520).
131132101200 is an abundant number, since it is smaller than the sum of its proper divisors (294268617840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131132101200 is a wasteful number, since it uses less digits than its factorization.
131132101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3646 (or 3635 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 131132101200 its reverse (2101231131), we get a palindrome (133233332331).
The spelling of 131132101200 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred one thousand, two hundred".
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