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202221210021021 = 3352822314179001
BaseRepresentation
bin101101111110101101001011…
…011000111010110010011101
3222112000011021211011022002000
4231332231023120322302131
5203001143014231133041
61554031050312552513
760411000046056552
oct5576551330726235
9875004254138060
10202221210021021
1159485596185024
121a81b9aa0b2739
1388ab4bc10c7c9
1437d17b7458a29
15185a3875c6bb6
hexb7eb4b63ac9d

202221210021021 has 16 divisors (see below), whose sum is σ = 299587566097920. Its totient is φ = 134813875284000.

The previous prime is 202221210021011. The next prime is 202221210021029. The reversal of 202221210021021 is 120120012122202.

It is a happy number.

202221210021021 is a `hidden beast` number, since 2 + 0 + 2 + 221 + 210 + 0 + 210 + 21 = 666.

It is not a de Polignac number, because 202221210021021 - 214 = 202221210004637 is a prime.

It is a super-2 number, since 2×2022212100210212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202221210020985 and 202221210021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221210021029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7172521 + ... + 21351521.

It is an arithmetic number, because the mean of its divisors is an integer number (18724222881120).

Almost surely, 2202221210021021 is an apocalyptic number.

It is an amenable number.

202221210021021 is a deficient number, since it is larger than the sum of its proper divisors (97366356076899).

202221210021021 is a wasteful number, since it uses less digits than its factorization.

202221210021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707233 (or 14707227 counting only the distinct ones).

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

Adding to 202221210021021 its reverse (120120012122202), we get a palindrome (322341222143223).

The spelling of 202221210021021 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred ten million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 528223 1584669 4754007 14179001 14262021 42537003 127611009 382833027 7489674445223 22469023335669 67407070007007 202221210021021