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221200121220021 = 3319231732070153
BaseRepresentation
bin110010010010111000101010…
…101001100100101110110101
31002000012112011202220021211000
4302102320222221210232311
5212443120322013020041
62102241533254233513
764410116132364546
oct6222705251445665
91060175152807730
10221200121220021
1164532498831909
1220986095055899
13965710acc0928
143c8a2005224cd
151a88dc95a7bb6
hexc92e2aa64bb5

221200121220021 has 48 divisors (see below), whose sum is σ = 357015972702720. Its totient is φ = 135198715671360.

The previous prime is 221200121220019. The next prime is 221200121220131. The reversal of 221200121220021 is 120022121002122.

It is a happy number.

221200121220021 is a `hidden beast` number, since 221 + 200 + 1 + 2 + 1 + 220 + 0 + 21 = 666.

221200121220021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221200121220021 - 21 = 221200121220019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221200121219976 and 221200121220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200121220521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365732920 + ... + 366337233.

It is an arithmetic number, because the mean of its divisors is an integer number (7437832764640).

Almost surely, 2221200121220021 is an apocalyptic number.

It is an amenable number.

221200121220021 is a deficient number, since it is larger than the sum of its proper divisors (135815851482699).

221200121220021 is a wasteful number, since it uses less digits than its factorization.

221200121220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732070231 (or 732070206 counting only the distinct ones).

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

Adding to 221200121220021 its reverse (120022121002122), we get a palindrome (341222242222143).

The spelling of 221200121220021 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 19 27 31 57 93 171 279 361 513 589 837 1083 1767 3249 5301 9747 11191 15903 33573 100719 302157 732070153 2196210459 6588631377 13909332907 19765894131 22694174743 41727998721 68082524229 125183996163 204247572687 264277325233 375551988489 431189320117 612742718061 792831975699 1293567960351 2378495927097 3880703881053 7135487781291 8192597082223 11642111643159 24577791246669 73733373740007 221200121220021