Base | Representation |
---|---|
bin | 10000000110111… |
… | …10101110010000 |
3 | 100102021022111211 |
4 | 20003132232100 |
5 | 234043130000 |
6 | 21224145504 |
7 | 3230405005 |
oct | 1003365620 |
9 | 312238454 |
10 | 135130000 |
11 | 6a306195 |
12 | 39308294 |
13 | 21cc37a5 |
14 | 13d378ac |
15 | bce37ba |
hex | 80deb90 |
135130000 has 50 divisors (see below), whose sum is σ = 327187454. Its totient is φ = 54048000.
The previous prime is 135129989. The next prime is 135130003. The reversal of 135130000 is 31531.
It can be written as a sum of positive squares in 5 ways, for example, as 51151104 + 83978896 = 7152^2 + 9164^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135130003) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3244 + ... + 16756.
Almost surely, 2135130000 is an apocalyptic number.
135130000 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 135130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163593727).
135130000 is an abundant number, since it is smaller than the sum of its proper divisors (192057454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135130000 is an equidigital number, since it uses as much as digits as its factorization.
135130000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13541 (or 13520 counting only the distinct ones).
The product of its (nonzero) digits is 45, while the sum is 13.
The square root of 135130000 is about 11624.5430017700. The cubic root of 135130000 is about 513.1573955265.
Adding to 135130000 its reverse (31531), we get a palindrome (135161531).
The spelling of 135130000 in words is "one hundred thirty-five million, one hundred thirty thousand".
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