Base | Representation |
---|---|
bin | 10011100101001111… |
… | …11111110011111001 |
3 | 1000010200002212021122 |
4 | 21302213333303321 |
5 | 133012313202301 |
6 | 4455110315025 |
7 | 521344133333 |
oct | 116247776371 |
9 | 30120085248 |
10 | 10513022201 |
11 | 4505366200 |
12 | 2054958a75 |
13 | cb70818c6 |
14 | 71a348453 |
15 | 417e4981b |
hex | 2729ffcf9 |
10513022201 has 12 divisors (see below), whose sum is σ = 11582381076. Its totient is φ = 9535173120.
The previous prime is 10513022197. The next prime is 10513022209. The reversal of 10513022201 is 10222031501.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 457746025 + 10055276176 = 21395^2 + 100276^2 .
It is not a de Polignac number, because 10513022201 - 22 = 10513022197 is a prime.
It is a super-2 number, since 2×105130222012 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 10513022201.
It is not an unprimeable number, because it can be changed into a prime (10513022209) 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 11 ways as a sum of consecutive naturals, for example, 47936 + ... + 152721.
It is an arithmetic number, because the mean of its divisors is an integer number (965198423).
Almost surely, 210513022201 is an apocalyptic number.
10513022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10513022201 is a deficient number, since it is larger than the sum of its proper divisors (1069358875).
10513022201 is a wasteful number, since it uses less digits than its factorization.
10513022201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201112 (or 201101 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 17.
Adding to 10513022201 its reverse (10222031501), we get a palindrome (20735053702).
The spelling of 10513022201 in words is "ten billion, five hundred thirteen million, twenty-two thousand, two hundred one".
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