Base | Representation |
---|---|
bin | 1001000110001000101000… |
… | …0011110001100010001101 |
3 | 1022102002022220010010010200 |
4 | 2101202022003301202031 |
5 | 2302324022012011341 |
6 | 33134221312524113 |
7 | 2051356051214451 |
oct | 221421203614215 |
9 | 38362286103120 |
10 | 10001000110221 |
11 | 320644492269a |
12 | 1156316850639 |
13 | 577123403913 |
14 | 26809dca8661 |
15 | 125237b46db6 |
hex | 9188a0f188d |
10001000110221 has 6 divisors (see below), whose sum is σ = 14445889048110. Its totient is φ = 6667333406808.
The previous prime is 10001000110217. The next prime is 10001000110289. The reversal of 10001000110221 is 12201100010001.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 9951589488996 + 49410621225 = 3154614^2 + 222285^2 .
It is not a de Polignac number, because 10001000110221 - 22 = 10001000110217 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111222234469 = 10001000110221 / (1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 2 + 2 + 1).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001000110421) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 555611117226 + ... + 555611117243.
It is an arithmetic number, because the mean of its divisors is an integer number (2407648174685).
Almost surely, 210001000110221 is an apocalyptic number.
It is an amenable number.
10001000110221 is a deficient number, since it is larger than the sum of its proper divisors (4444888937889).
10001000110221 is a wasteful number, since it uses less digits than its factorization.
10001000110221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1111222234475 (or 1111222234472 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10001000110221 its reverse (12201100010001), we get a palindrome (22202100120222).
The spelling of 10001000110221 in words is "ten trillion, one billion, one hundred ten thousand, two hundred twenty-one".
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