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21202243441101 = 32171214911406433
BaseRepresentation
bin1001101001000100010000…
…01100000101000111001101
32210001220200210121020021100
410310202020030011013031
510234334143310103401
6113032102015253313
74315545233453352
oct464421014050715
983056623536240
1021202243441101
116834903754688
12246517851a239
13baa4945ccc88
145342a06d0629
1526b7bb9beb86
hex1348883051cd

21202243441101 has 24 divisors (see below), whose sum is σ = 32429632505400. Its totient is φ = 13302272249856.

The previous prime is 21202243441007. The next prime is 21202243441103. The reversal of 21202243441101 is 10114434220212.

21202243441101 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 2 + 243 + 4 + 411 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19069387656201 + 2132855784900 = 4366851^2 + 1460430^2 .

It is not a de Polignac number, because 21202243441101 - 211 = 21202243439053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202243441103) 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 23 ways as a sum of consecutive naturals, for example, 3844420 + ... + 7562013.

It is an arithmetic number, because the mean of its divisors is an integer number (1351234687725).

Almost surely, 221202243441101 is an apocalyptic number.

It is an amenable number.

21202243441101 is a deficient number, since it is larger than the sum of its proper divisors (11227389064299).

21202243441101 is a wasteful number, since it uses less digits than its factorization.

21202243441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418605 (or 11418602 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21202243441101 its reverse (10114434220212), we get a palindrome (31316677661313).

The spelling of 21202243441101 in words is "twenty-one trillion, two hundred two billion, two hundred forty-three million, four hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 17 51 153 12149 36447 109341 206533 619599 1858797 11406433 34219299 102657897 193909361 581728083 1745184249 138576754517 415730263551 1247190790653 2355804826789 7067414480367 21202243441101