Base | Representation |
---|---|
bin | 1100001110101110001… |
… | …0000010111101110100 |
3 | 202002022221000221122100 |
4 | 3003223202002331310 |
5 | 11420301130013022 |
6 | 240305002302100 |
7 | 21115502353422 |
oct | 3035342027564 |
9 | 662287027570 |
10 | 210110001012 |
11 | 8111a68863a |
12 | 348794b7930 |
13 | 16a75a422b2 |
14 | a252aba112 |
15 | 56ead101ac |
hex | 30eb882f74 |
210110001012 has 72 divisors (see below), whose sum is σ = 545757508296. Its totient is φ = 68107336704.
The previous prime is 210110001007. The next prime is 210110001061. The reversal of 210110001012 is 210100011012.
It is a happy number.
210110001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 102910073616 + 107199927396 = 320796^2 + 327414^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 210110000985 and 210110001003.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2506888 + ... + 2589344.
It is an arithmetic number, because the mean of its divisors is an integer number (7579965393).
Almost surely, 2210110001012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 210110001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272878754148).
210110001012 is an abundant number, since it is smaller than the sum of its proper divisors (335647507284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210110001012 is a wasteful number, since it uses less digits than its factorization.
210110001012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84417 (or 84412 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 210110001012 its reverse (210100011012), we get a palindrome (420210012024).
The spelling of 210110001012 in words is "two hundred ten billion, one hundred ten million, one thousand, twelve".
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