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2122210101233 is a prime number
BaseRepresentation
bin11110111000011101100…
…101000100011111110001
321111212210110201020101202
4132320131211010133301
5234232241241214413
64302532503340545
7306216226140215
oct36703545043761
97455713636352
102122210101233
1174902a304752
122a336ba51755
1312517b5a8a41
1474a03542945
153a30bee7e58
hex1ee1d9447f1

2122210101233 has 2 divisors, whose sum is σ = 2122210101234. Its totient is φ = 2122210101232.

The previous prime is 2122210101217. The next prime is 2122210101257. The reversal of 2122210101233 is 3321010122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1126459577104 + 995750524129 = 1061348^2 + 997873^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122210101233 - 24 = 2122210101217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122210101293) 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, 1061105050616 + 1061105050617.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105050617).

Almost surely, 22122210101233 is an apocalyptic number.

It is an amenable number.

2122210101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210101233 is an equidigital number, since it uses as much as digits as its factorization.

2122210101233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122210101233 its reverse (3321010122212), we get a palindrome (5443220223445).

The spelling of 2122210101233 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, two hundred thirty-three".