Base | Representation |
---|---|
bin | 10010111011000001101… |
… | …110001000100111111111 |
3 | 11121022101020201100221200 |
4 | 102323001232020213333 |
5 | 132301034014020111 |
6 | 2433210301230543 |
7 | 162642252334113 |
oct | 22730156104777 |
9 | 4538336640850 |
10 | 1300330220031 |
11 | 461515567407 |
12 | 190019b62453 |
13 | 9580b6463cb |
14 | 46d17387743 |
15 | 23c57e03256 |
hex | 12ec1b889ff |
1300330220031 has 48 divisors (see below), whose sum is σ = 2014845041664. Its totient is φ = 805204806912.
The previous prime is 1300330220003. The next prime is 1300330220041. The reversal of 1300330220031 is 1300220330031.
1300330220031 is a `hidden beast` number, since 1 + 300 + 330 + 2 + 2 + 0 + 0 + 31 = 666.
It is not a de Polignac number, because 1300330220031 - 218 = 1300329957887 is a prime.
It is a super-2 number, since 2×13003302200312 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1300330219986 and 1300330220013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1300330220041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11971890 + ... + 12080016.
It is an arithmetic number, because the mean of its divisors is an integer number (41975938368).
Almost surely, 21300330220031 is an apocalyptic number.
1300330220031 is a deficient number, since it is larger than the sum of its proper divisors (714514821633).
1300330220031 is a wasteful number, since it uses less digits than its factorization.
1300330220031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109180 (or 109177 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 1300330220031 its reverse (1300220330031), we get a palindrome (2600550550062).
The spelling of 1300330220031 in words is "one trillion, three hundred billion, three hundred thirty million, two hundred twenty thousand, thirty-one".
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