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221221120229 is a prime number
BaseRepresentation
bin1100111000000111001…
…1100110100011100101
3210011000021120021210022
43032001303212203211
512111030101321404
6245343320204525
721661031332124
oct3160163464345
9704007507708
10221221120229
118590161199a
1236a5a609745
1317b269a4555
14a9c8633abb
155b4b4ed8be
hex3381ce68e5

221221120229 has 2 divisors, whose sum is σ = 221221120230. Its totient is φ = 221221120228.

The previous prime is 221221120217. The next prime is 221221120247. The reversal of 221221120229 is 922021122122.

221221120229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221183971204 + 37149025 = 470302^2 + 6095^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221120229 - 212 = 221221116133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221221120198 and 221221120207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221123229) 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, 110610560114 + 110610560115.

It is an arithmetic number, because the mean of its divisors is an integer number (110610560115).

Almost surely, 2221221120229 is an apocalyptic number.

It is an amenable number.

221221120229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221120229 is an equidigital number, since it uses as much as digits as its factorization.

221221120229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221221120229 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-nine".