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221021022120133 is a prime number
BaseRepresentation
bin110010010000010001110111…
…100000101110100011000101
31001222120101220001100100012011
4302100101313200232203011
5212432202023130321013
62102023353355054221
764361145653222434
oct6220216740564305
91058511801310164
10221021022120133
1164473541a87284
1220957431141371
139643267bc9691
143c8169023911b
151a843e6007c3d
hexc9047782e8c5

221021022120133 has 2 divisors, whose sum is σ = 221021022120134. Its totient is φ = 221021022120132.

The previous prime is 221021022120011. The next prime is 221021022120229. The reversal of 221021022120133 is 331021220120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177260918439969 + 43760103680164 = 13313937^2 + 6615142^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021022120133 - 233 = 221012432185541 is a prime.

It is a super-3 number, since 3×2210210221201333 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221021022150133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510511060066 + 110510511060067.

It is an arithmetic number, because the mean of its divisors is an integer number (110510511060067).

Almost surely, 2221021022120133 is an apocalyptic number.

It is an amenable number.

221021022120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021022120133 is an equidigital number, since it uses as much as digits as its factorization.

221021022120133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221021022120133 its reverse (331021220120122), we get a palindrome (552042242240255).

The spelling of 221021022120133 in words is "two hundred twenty-one trillion, twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred thirty-three".