Base | Representation |
---|---|
bin | 111100101100000110… |
… | …1110001001100100001 |
3 | 110110101212001100200200 |
4 | 1321120031301030201 |
5 | 4113403212221030 |
6 | 135512231135413 |
7 | 12262450263600 |
oct | 1713015611441 |
9 | 413355040620 |
10 | 130329023265 |
11 | 502aa377191 |
12 | 21312b14569 |
13 | c3a00c4b5c |
14 | 6445075a37 |
15 | 35cbba6d60 |
hex | 1e58371321 |
130329023265 has 144 divisors (see below), whose sum is σ = 273619893456. Its totient is φ = 57170534400.
The previous prime is 130329023257. The next prime is 130329023273. The reversal of 130329023265 is 562320923031.
130329023265 is a `hidden beast` number, since 1 + 3 + 0 + 329 + 0 + 2 + 326 + 5 = 666.
It is an interprime number because it is at equal distance from previous prime (130329023257) and next prime (130329023273).
It can be written as a sum of positive squares in 8 ways, for example, as 20947351824 + 109381671441 = 144732^2 + 330729^2 .
It is not a de Polignac number, because 130329023265 - 23 = 130329023257 is a prime.
It is a super-2 number, since 2×1303290232652 (a number of 23 digits) contains 22 as substring.
It is a Curzon 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 143 ways as a sum of consecutive naturals, for example, 5502889 + ... + 5526521.
It is an arithmetic number, because the mean of its divisors is an integer number (1900138149).
Almost surely, 2130329023265 is an apocalyptic number.
130329023265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
130329023265 is an abundant number, since it is smaller than the sum of its proper divisors (143290870191).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130329023265 is a wasteful number, since it uses less digits than its factorization.
130329023265 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23760 (or 23750 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
Adding to 130329023265 its reverse (562320923031), we get a palindrome (692649946296).
The spelling of 130329023265 in words is "one hundred thirty billion, three hundred twenty-nine million, twenty-three thousand, two hundred sixty-five".
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