| Base | Representation |
|---|---|
| bin | 1111101100111… |
| … | …00000010000000 |
| 3 | 100011211121200001 |
| 4 | 13312130002000 |
| 5 | 232204223404 |
| 6 | 21023005344 |
| 7 | 3156345250 |
| oct | 766340200 |
| 9 | 304747601 |
| 10 | 131711104 |
| 11 | 68390558 |
| 12 | 38139854 |
| 13 | 21397585 |
| 14 | 136c7960 |
| 15 | b86a7a4 |
| hex | 7d9c080 |
131711104 has 64 divisors (see below), whose sum is σ = 317554560. Its totient is φ = 53121024.
The previous prime is 131711101. The next prime is 131711119. The reversal of 131711104 is 401117131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131711101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10909 + ... + 19555.
It is an arithmetic number, because the mean of its divisors is an integer number (4961790).
Almost surely, 2131711104 is an apocalyptic number.
131711104 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 131711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158777280).
131711104 is an abundant number, since it is smaller than the sum of its proper divisors (185843456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131711104 is an equidigital number, since it uses as much as digits as its factorization.
131711104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8685 (or 8673 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 19.
The square root of 131711104 is about 11476.5458218054. The cubic root of 131711104 is about 508.7926122630.
Adding to 131711104 its reverse (401117131), we get a palindrome (532828235).
It can be divided in two parts, 1317 and 11104, that added together give a palindrome (12421).
The spelling of 131711104 in words is "one hundred thirty-one million, seven hundred eleven thousand, one hundred four".
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