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21331321101 = 3210301230089
BaseRepresentation
bin10011110111011100…
…100010000100001101
32001001121122101110200
4103313130202010031
5322141304233401
613444404124113
71353416144346
oct236734420415
961047571420
1021331321101
119056a7a2a2
124173996639
13201c45acbc
14106503b0cd
1584ca96686
hex4f772210d

21331321101 has 12 divisors (see below), whose sum is σ = 30815033340. Its totient is φ = 14219438400.

The previous prime is 21331321097. The next prime is 21331321111. The reversal of 21331321101 is 10112313312.

21331321101 is a `hidden beast` number, since 2 + 1 + 331 + 321 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9914184900 + 11417136201 = 99570^2 + 106851^2 .

It is not a de Polignac number, because 21331321101 - 22 = 21331321097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331321111) 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 11 ways as a sum of consecutive naturals, for example, 22336 + ... + 207753.

It is an arithmetic number, because the mean of its divisors is an integer number (2567919445).

Almost surely, 221331321101 is an apocalyptic number.

It is an amenable number.

21331321101 is a deficient number, since it is larger than the sum of its proper divisors (9483712239).

21331321101 is a wasteful number, since it uses less digits than its factorization.

21331321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240396 (or 240393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21331321101 its reverse (10112313312), we get a palindrome (31443634413).

The spelling of 21331321101 in words is "twenty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 10301 30903 92709 230089 690267 2070801 2370146789 7110440367 21331321101