Base | Representation |
---|---|
bin | 10010111010101111001… |
… | …111100000001001011111 |
3 | 11121021120122100201110110 |
4 | 102322233033200021133 |
5 | 132244420132400111 |
6 | 2433115424341103 |
7 | 162631466242530 |
oct | 22725717401137 |
9 | 4537518321413 |
10 | 1300020200031 |
11 | 461376569833 |
12 | 18bb52174793 |
13 | 9578c34a917 |
14 | 46cc8126687 |
15 | 23c3aab55a6 |
hex | 12eaf3e025f |
1300020200031 has 32 divisors (see below), whose sum is σ = 1982883110400. Its totient is φ = 742156563456.
The previous prime is 1300020200023. The next prime is 1300020200033.
It is a happy number.
1300020200031 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 1300020200031 - 23 = 1300020200023 is a prime.
It is a super-2 number, since 2×13000202000312 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1300020200033) 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 31 ways as a sum of consecutive naturals, for example, 140888440 + ... + 140897666.
It is an arithmetic number, because the mean of its divisors is an integer number (61965097200).
Almost surely, 21300020200031 is an apocalyptic number.
1300020200031 is a deficient number, since it is larger than the sum of its proper divisors (682862910369).
1300020200031 is a wasteful number, since it uses less digits than its factorization.
1300020200031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14943.
The product of its (nonzero) digits is 36, while the sum is 12.
It can be divided in two parts, 1300020 and 200031, that added together give a palindrome (1500051).
The spelling of 1300020200031 in words is "one trillion, three hundred billion, twenty million, two hundred thousand, thirty-one".
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