Base | Representation |
---|---|
bin | 1111101000110… |
… | …10011010100100 |
3 | 100010211122101210 |
4 | 13310122122210 |
5 | 232040231241 |
6 | 21003351420 |
7 | 3152004360 |
oct | 764323244 |
9 | 303748353 |
10 | 131180196 |
11 | 68058694 |
12 | 37b22570 |
13 | 2123ca24 |
14 | 135ca2a0 |
15 | b7b3316 |
hex | 7d1a6a4 |
131180196 has 96 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 36273024.
The previous prime is 131180183. The next prime is 131180209. The reversal of 131180196 is 691081131.
It is an interprime number because it is at equal distance from previous prime (131180183) and next prime (131180209).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588141 + ... + 588363.
It is an arithmetic number, because the mean of its divisors is an integer number (3763200).
Almost surely, 2131180196 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131180196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).
131180196 is an abundant number, since it is smaller than the sum of its proper divisors (230087004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131180196 is a wasteful number, since it uses less digits than its factorization.
131180196 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 433 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 30.
The square root of 131180196 is about 11453.3923358977. The cubic root of 131180196 is about 508.1080690579.
The spelling of 131180196 in words is "one hundred thirty-one million, one hundred eighty thousand, one hundred ninety-six".
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