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202112020201221 = 361321326582273
BaseRepresentation
bin101101111101000111011111…
…001010110011111100000101
3222111121201110012020202000000
4231331013133022303330011
5202442400404132414341
61553504551424111513
760400053162652524
oct5575073712637405
9874551405222000
10202112020201221
1159443254399329
121a8027b6765599
1388a110a71b390
1437ca3b9ad04bb
1518575e66b78b6
hexb7d1df2b3f05

202112020201221 has 28 divisors (see below), whose sum is σ = 326339361956748. Its totient is φ = 124376627810304.

The previous prime is 202112020201219. The next prime is 202112020201241. The reversal of 202112020201221 is 122102020211202.

It is a happy number.

202112020201221 is a `hidden beast` number, since 20 + 21 + 1 + 202 + 0 + 201 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45224145512100 + 156887874689121 = 6724890^2 + 12525489^2 .

It is not a de Polignac number, because 202112020201221 - 21 = 202112020201219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202112020201194 and 202112020201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112020201241) 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 27 ways as a sum of consecutive naturals, for example, 10663281660 + ... + 10663300613.

It is an arithmetic number, because the mean of its divisors is an integer number (11654977212741).

Almost surely, 2202112020201221 is an apocalyptic number.

It is an amenable number.

202112020201221 is a deficient number, since it is larger than the sum of its proper divisors (124227341755527).

202112020201221 is an equidigital number, since it uses as much as digits as its factorization.

202112020201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21326582304 (or 21326582289 counting only the distinct ones).

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

Adding to 202112020201221 its reverse (122102020211202), we get a palindrome (324214040412423).

The spelling of 202112020201221 in words is "two hundred two trillion, one hundred twelve billion, twenty million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 21326582273 63979746819 191939240457 277245569549 575817721371 831736708647 1727453164113 2495210125941 5182359492339 7485630377823 15547078477017 22456891133469 67370673400407 202112020201221