Base | Representation |
---|---|
bin | 11000011101010111… |
… | …11100010010000110 |
3 | 1020220010212020222100 |
4 | 30032223330102012 |
5 | 203343103131042 |
6 | 10011001212530 |
7 | 643256140236 |
oct | 141653742206 |
9 | 36803766870 |
10 | 13131302022 |
11 | 5629306623 |
12 | 2665791146 |
13 | 1313654cc7 |
14 | 8c7d87cc6 |
15 | 51cc3b24c |
hex | 30eafc486 |
13131302022 has 48 divisors (see below), whose sum is σ = 29472711840. Its totient is φ = 4220353536.
The previous prime is 13131302011. The next prime is 13131302081. The reversal of 13131302022 is 22020313131.
13131302022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13131301986 and 13131302004.
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 23 ways as a sum of consecutive naturals, for example, 370918 + ... + 404774.
It is an arithmetic number, because the mean of its divisors is an integer number (614014830).
Almost surely, 213131302022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13131302022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736355920).
13131302022 is an abundant number, since it is smaller than the sum of its proper divisors (16341409818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131302022 is a wasteful number, since it uses less digits than its factorization.
13131302022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34637 (or 34634 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13131302022 its reverse (22020313131), we get a palindrome (35151615153).
The spelling of 13131302022 in words is "thirteen billion, one hundred thirty-one million, three hundred two thousand, twenty-two".
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