Base | Representation |
---|---|
bin | 10011000110110100111… |
… | …001111110101010001110 |
3 | 11122112002020101010110000 |
4 | 103012310321332222032 |
5 | 133003011012414042 |
6 | 2443103421225130 |
7 | 163601236620600 |
oct | 23066471765216 |
9 | 4575066333400 |
10 | 1313000123022 |
11 | 466927381015 |
12 | 1925751021a6 |
13 | 96a7a510123 |
14 | 47799d47170 |
15 | 2424a39d74c |
hex | 131b4e7ea8e |
1313000123022 has 240 divisors, whose sum is σ = 3452768415360. Its totient is φ = 371832376608.
The previous prime is 1313000123021. The next prime is 1313000123059. The reversal of 1313000123022 is 2203210003131.
1313000123022 is a `hidden beast` number, since 131 + 300 + 0 + 1 + 230 + 2 + 2 = 666.
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 = 1313000122986 and 1313000123004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1313000123021) 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 119 ways as a sum of consecutive naturals, for example, 493051663 + ... + 493054325.
It is an arithmetic number, because the mean of its divisors is an integer number (14386535064).
Almost surely, 21313000123022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1313000123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726384207680).
1313000123022 is an abundant number, since it is smaller than the sum of its proper divisors (2139768292338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1313000123022 is a wasteful number, since it uses less digits than its factorization.
1313000123022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3217 (or 3201 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 1313000123022 its reverse (2203210003131), we get a palindrome (3516210126153).
The spelling of 1313000123022 in words is "one trillion, three hundred thirteen billion, one hundred twenty-three thousand, twenty-two".
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