Base | Representation |
---|---|
bin | 111100101000111001… |
… | …1100001000110011000 |
3 | 110110010100200111201200 |
4 | 1321101303201012120 |
5 | 4113143144301141 |
6 | 135453430114200 |
7 | 12260003205450 |
oct | 1712163410630 |
9 | 413110614650 |
10 | 130221478296 |
11 | 502546a2048 |
12 | 212a2aab960 |
13 | c383a3c090 |
14 | 6434a7cd60 |
15 | 35c2511ab6 |
hex | 1e51ce1198 |
130221478296 has 384 divisors, whose sum is σ = 447253847040. Its totient is φ = 33312384000.
The previous prime is 130221478183. The next prime is 130221478307. The reversal of 130221478296 is 692874122031.
130221478296 is a `hidden beast` number, since 130 + 2 + 21 + 478 + 29 + 6 = 666.
It is a super-3 number, since 3×1302214782963 (a number of 34 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42540606 + ... + 42543666.
It is an arithmetic number, because the mean of its divisors is an integer number (1164723560).
Almost surely, 2130221478296 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 130221478296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223626923520).
130221478296 is an abundant number, since it is smaller than the sum of its proper divisors (317032368744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130221478296 is a wasteful number, since it uses less digits than its factorization.
130221478296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3287 (or 3280 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The spelling of 130221478296 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred seventy-eight thousand, two hundred ninety-six".
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