Base | Representation |
---|---|
bin | 111100100101110100… |
… | …0101011011111110000 |
3 | 110102212010220221112020 |
4 | 1321023220223133300 |
5 | 4112440200132000 |
6 | 135435251431440 |
7 | 12254305346610 |
oct | 1711350533760 |
9 | 412763827466 |
10 | 130117974000 |
11 | 50201227803 |
12 | 212742b5580 |
13 | c36846c531 |
14 | 6425018a40 |
15 | 35b83b8ba0 |
hex | 1e4ba2b7f0 |
130117974000 has 960 divisors, whose sum is σ = 515598999552. Its totient is φ = 27620352000.
The previous prime is 130117973929. The next prime is 130117974011. The reversal of 130117974000 is 479711031.
130117974000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1782437964 + ... + 1782438036.
Almost surely, 2130117974000 is an apocalyptic number.
130117974000 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 130117974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257799499776).
130117974000 is an abundant number, since it is smaller than the sum of its proper divisors (385481025552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130117974000 is a wasteful number, since it uses less digits than its factorization.
130117974000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 211 (or 158 counting only the distinct ones).
The product of its (nonzero) digits is 5292, while the sum is 33.
The spelling of 130117974000 in words is "one hundred thirty billion, one hundred seventeen million, nine hundred seventy-four thousand".
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