Base | Representation |
---|---|
bin | 1011110010000010011… |
… | …0000010001000010100 |
3 | 201100110022200211000200 |
4 | 2330200212002020110 |
5 | 11304014014212040 |
6 | 232552551140500 |
7 | 20423626124301 |
oct | 2744046021024 |
9 | 640408624020 |
10 | 202410304020 |
11 | 789293812a1 |
12 | 3328a974730 |
13 | 161197a4b82 |
14 | 9b222640a8 |
15 | 53e9d83630 |
hex | 2f20982214 |
202410304020 has 108 divisors (see below), whose sum is σ = 625782549756. Its totient is φ = 52957532160.
The previous prime is 202410304001. The next prime is 202410304027. The reversal of 202410304020 is 20403014202.
202410304020 is a `hidden beast` number, since 20 + 241 + 0 + 3 + 0 + 402 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 2906935056 + 199503368964 = 53916^2 + 446658^2 .
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 = 202410303984 and 202410304002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (202410304027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305460 + ... + 705780.
Almost surely, 2202410304020 is an apocalyptic number.
202410304020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202410304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312891274878).
202410304020 is an abundant number, since it is smaller than the sum of its proper divisors (423372245736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202410304020 is a wasteful number, since it uses less digits than its factorization.
202410304020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 400442 (or 400384 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 202410304020 its reverse (20403014202), we get a palindrome (222813318222).
The spelling of 202410304020 in words is "two hundred two billion, four hundred ten million, three hundred four thousand, twenty".
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