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21201022210221 = 34744518400713
BaseRepresentation
bin1001101001000001111110…
…11001011101000010101101
32210001210112200122021110000
410310200333121131002231
510234324143141211341
6113031340512134513
74315503044251440
oct464407731350255
983053480567400
1021201022210221
116834337367867
122464a97537439
13baa32b5b4059
145341c6435657
1526b74968d8b6
hex13483f65d0ad

21201022210221 has 40 divisors (see below), whose sum is σ = 36203179408704. Its totient is φ = 12112146561600.

The previous prime is 21201022210187. The next prime is 21201022210253. The reversal of 21201022210221 is 12201222010212.

It is a happy number.

21201022210221 is a `hidden beast` number, since 2 + 120 + 102 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 21201022210221 - 211 = 21201022208173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21201022210194 and 21201022210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201022210021) 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 39 ways as a sum of consecutive naturals, for example, 1676640 + ... + 6724073.

Almost surely, 221201022210221 is an apocalyptic number.

21201022210221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21201022210221 is a deficient number, since it is larger than the sum of its proper divisors (15002157198483).

21201022210221 is an equidigital number, since it uses as much as digits as its factorization.

21201022210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405183 (or 8405174 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201022210221 its reverse (12201222010212), we get a palindrome (33402244220433).

The spelling of 21201022210221 in words is "twenty-one trillion, two hundred one billion, twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4451 13353 31157 40059 93471 120177 280413 360531 841239 2523717 8400713 25202139 58804991 75606417 176414973 226819251 529244919 680457753 1587734757 4763204271 37391573563 112174720689 261741014941 336524162067 785223044823 1009572486201 2355669134469 3028717458603 7067007403407 21201022210221