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222120123133 is a prime number
BaseRepresentation
bin1100111011011101100…
…1000001101011111101
3210020022221012100221011
43032313121001223331
512114400222420013
6250012433035221
722022225615626
oct3166731015375
9706287170834
10222120123133
11862230230a7
123706b6b5b11
1317c3b00c12c
14aa71bb0a4d
155ba03cec3d
hex33b7641afd

222120123133 has 2 divisors, whose sum is σ = 222120123134. Its totient is φ = 222120123132.

The previous prime is 222120123097. The next prime is 222120123151. The reversal of 222120123133 is 331321021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130503730009 + 91616393124 = 361253^2 + 302682^2 .

It is a cyclic number.

It is not a de Polignac number, because 222120123133 - 221 = 222118025981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222120120133) 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, 111060061566 + 111060061567.

It is an arithmetic number, because the mean of its divisors is an integer number (111060061567).

Almost surely, 2222120123133 is an apocalyptic number.

It is an amenable number.

222120123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120123133 is an equidigital number, since it uses as much as digits as its factorization.

222120123133 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 22.

Adding to 222120123133 its reverse (331321021222), we get a palindrome (553441144355).

The spelling of 222120123133 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred twenty-three thousand, one hundred thirty-three".