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222001123129 is a prime number
BaseRepresentation
bin1100111011000001001…
…1000100111100111001
3210020000122021112121121
43032300103010330321
512114124241420004
6245552542305241
722016252261062
oct3166023047471
9706018245547
10222001123129
1186171934695
1237037888221
1317c1c475426
14aa60075569
155b94c25854
hex33b04c4f39

222001123129 has 2 divisors, whose sum is σ = 222001123130. Its totient is φ = 222001123128.

The previous prime is 222001123111. The next prime is 222001123177. The reversal of 222001123129 is 921321100222.

222001123129 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., 130508787600 + 91492335529 = 361260^2 + 302477^2 .

It is a cyclic number.

It is not a de Polignac number, because 222001123129 - 221 = 221999025977 is a prime.

It is not a weakly prime, because it can be changed into another prime (222001123229) 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, 111000561564 + 111000561565.

It is an arithmetic number, because the mean of its divisors is an integer number (111000561565).

Almost surely, 2222001123129 is an apocalyptic number.

It is an amenable number.

222001123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

222001123129 is an equidigital number, since it uses as much as digits as its factorization.

222001123129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 222001123129 in words is "two hundred twenty-two billion, one million, one hundred twenty-three thousand, one hundred twenty-nine".