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222133202132297 is a prime number
BaseRepresentation
bin110010100000011101101010…
…100110110001110101001001
31002010111201121210020211112112
4302200131222212301311021
5213103412244221213142
62104234330112352105
764534410553312511
oct6240355246616511
91063451553224475
10222133202132297
116486218666a725
1220ab6a9bb45635
1396c40c0215a31
143cbd4391bc841
151aa32dae36382
hexca076a9b1d49

222133202132297 has 2 divisors, whose sum is σ = 222133202132298. Its totient is φ = 222133202132296.

The previous prime is 222133202132287. The next prime is 222133202132351. The reversal of 222133202132297 is 792231202331222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181003093080121 + 41130109052176 = 13453739^2 + 6413276^2 .

It is a cyclic number.

It is not a de Polignac number, because 222133202132297 - 222 = 222133197937993 is a prime.

It is not a weakly prime, because it can be changed into another prime (222133202132287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111066601066148 + 111066601066149.

It is an arithmetic number, because the mean of its divisors is an integer number (111066601066149).

Almost surely, 2222133202132297 is an apocalyptic number.

It is an amenable number.

222133202132297 is a deficient number, since it is larger than the sum of its proper divisors (1).

222133202132297 is an equidigital number, since it uses as much as digits as its factorization.

222133202132297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 222133202132297 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, two hundred two million, one hundred thirty-two thousand, two hundred ninety-seven".