| Base | Representation |
|---|---|
| bin | 1111101010110… |
| … | …00011010010000 |
| 3 | 100011022112201200 |
| 4 | 13311120122100 |
| 5 | 232121343003 |
| 6 | 21013031200 |
| 7 | 3154112610 |
| oct | 765303220 |
| 9 | 304275650 |
| 10 | 131434128 |
| 11 | 68211451 |
| 12 | 38025500 |
| 13 | 212cb497 |
| 14 | 13654a40 |
| 15 | b8136a3 |
| hex | 7d58690 |
131434128 has 120 divisors (see below), whose sum is σ = 424871616. Its totient is φ = 37152000.
The previous prime is 131434111. The next prime is 131434129. The reversal of 131434128 is 821434131.
131434128 is a `hidden beast` number, since 1 + 314 + 341 + 2 + 8 = 666.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (131434129) 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 23 ways as a sum of consecutive naturals, for example, 101163 + ... + 102453.
Almost surely, 2131434128 is an apocalyptic number.
131434128 is a gapful number since it is divisible by the number (18) 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 131434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212435808).
131434128 is an abundant number, since it is smaller than the sum of its proper divisors (293437488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131434128 is a wasteful number, since it uses less digits than its factorization.
131434128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 131434128 is about 11464.4724257159. The cubic root of 131434128 is about 508.4357143840.
Adding to 131434128 its reverse (821434131), we get a palindrome (952868259).
It can be divided in two parts, 13143 and 4128, that added together give a palindrome (17271).
The spelling of 131434128 in words is "one hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty-eight".
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