Base | Representation |
---|---|
bin | 1111100000101… |
… | …10111010000000 |
3 | 100001211122022100 |
4 | 13300112322000 |
5 | 231302222443 |
6 | 20524510400 |
7 | 3136656402 |
oct | 760267200 |
9 | 301748270 |
10 | 130117248 |
11 | 674a2018 |
12 | 376ab400 |
13 | 20c59c71 |
14 | 133d0b72 |
15 | b6533d3 |
hex | 7c16e80 |
130117248 has 96 divisors (see below), whose sum is σ = 377114400. Its totient is φ = 43061760.
The previous prime is 130117241. The next prime is 130117259. The reversal of 130117248 is 842711031.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (130117241) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205893 + ... + 206523.
It is an arithmetic number, because the mean of its divisors is an integer number (3928275).
Almost surely, 2130117248 is an apocalyptic number.
130117248 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 130117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188557200).
130117248 is an abundant number, since it is smaller than the sum of its proper divisors (246997152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130117248 is a wasteful number, since it uses less digits than its factorization.
130117248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 830 (or 815 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 130117248 is about 11406.8947571195. The cubic root of 130117248 is about 506.7319521907.
Adding to 130117248 its reverse (842711031), we get a palindrome (972828279).
The spelling of 130117248 in words is "one hundred thirty million, one hundred seventeen thousand, two hundred forty-eight".
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