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212221210129 is a prime number
BaseRepresentation
bin1100010110100101011…
…1101010111000010001
3202021210001122111002121
43011221113222320101
511434112112211004
6241254301014241
721222016344145
oct3055127527021
9667701574077
10212221210129
1182003382265
1235168554381
1317021256166
14a3b3243225
1557c133d854
hex31695eae11

212221210129 has 2 divisors, whose sum is σ = 212221210130. Its totient is φ = 212221210128.

The previous prime is 212221210043. The next prime is 212221210133. The reversal of 212221210129 is 921012122212.

It is a happy number.

212221210129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201015929104 + 11205281025 = 448348^2 + 105855^2 .

It is a cyclic number.

It is not a de Polignac number, because 212221210129 - 27 = 212221210001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212221210139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106110605064 + 106110605065.

It is an arithmetic number, because the mean of its divisors is an integer number (106110605065).

Almost surely, 2212221210129 is an apocalyptic number.

It is an amenable number.

212221210129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212221210129 is an equidigital number, since it uses as much as digits as its factorization.

212221210129 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 25.

The spelling of 212221210129 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-nine".