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221222212129 is a prime number
BaseRepresentation
bin1100111000000111011…
…1110001001000100001
3210011000100121202121001
43032001313301020201
512111030341242004
6245343355432001
721661043530402
oct3160167611041
9704010552531
10221222212129
1185902198296
1236a5aa55601
1317b26c97549
14a9c88399a9
155b4b6671a4
hex3381df1221

221222212129 has 2 divisors, whose sum is σ = 221222212130. Its totient is φ = 221222212128.

The previous prime is 221222212037. The next prime is 221222212139. The reversal of 221222212129 is 921212222122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142178014225 + 79044197904 = 377065^2 + 281148^2 .

It is a cyclic number.

It is not a de Polignac number, because 221222212129 - 227 = 221087994401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221222212097 and 221222212106.

It is not a weakly prime, because it can be changed into another prime (221222212139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611106064 + 110611106065.

It is an arithmetic number, because the mean of its divisors is an integer number (110611106065).

Almost surely, 2221222212129 is an apocalyptic number.

It is an amenable number.

221222212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221222212129 is an equidigital number, since it uses as much as digits as its factorization.

221222212129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The spelling of 221222212129 in words is "two hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-nine".