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210442232220021 = 32173296945523337
BaseRepresentation
bin101111110110010101100110…
…011111110100100101110101
31000121010002011222210202002200
4233312111212133310211311
5210040341142422020041
62023323454333455113
762216643456556044
oct5766254637644565
91017102158722080
10210442232220021
116106505a96373a
121b729145941499
13905680440ac29
1439d765bb4a55b
15194e1433461b6
hexbf65667f4975

210442232220021 has 24 divisors (see below), whose sum is σ = 305832157951320. Its totient is φ = 139436885607936.

The previous prime is 210442232220013. The next prime is 210442232220049. The reversal of 210442232220021 is 120022232244012.

210442232220021 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 422 + 32 + 2 + 200 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60397984164996 + 150044248055025 = 7771614^2 + 12249255^2 .

It is not a de Polignac number, because 210442232220021 - 23 = 210442232220013 is a prime.

It is a super-3 number, since 3×2104422322200213 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210442232220821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18138936 + ... + 27384401.

It is an arithmetic number, because the mean of its divisors is an integer number (12743006581305).

Almost surely, 2210442232220021 is an apocalyptic number.

It is an amenable number.

210442232220021 is a deficient number, since it is larger than the sum of its proper divisors (95389925731299).

210442232220021 is a wasteful number, since it uses less digits than its factorization.

210442232220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45526485 (or 45526482 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 210442232220021 its reverse (120022232244012), we get a palindrome (330464464464033).

The spelling of 210442232220021 in words is "two hundred ten trillion, four hundred forty-two billion, two hundred thirty-two million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 173 519 1557 2969 8907 26721 513637 1540911 4622733 45523337 136570011 409710033 7875537301 23626611903 70879835709 135158787553 405476362659 1216429087977 23382470246669 70147410740007 210442232220021