Search a number
-
+
242133331397233 is a prime number
BaseRepresentation
bin110111000011100000001111…
…001101001100101001110001
31011202022201110011221200100111
4313003200033031030221301
5223214103030314202413
62214550303345221321
7102000361450144213
oct6703401715145161
91152281404850314
10242133331397233
1170173195197391
12231a708a931841
13a5150c92187a3
1443b145c6885b3
151ced69c302d3d
hexdc380f34ca71

242133331397233 has 2 divisors, whose sum is σ = 242133331397234. Its totient is φ = 242133331397232.

The previous prime is 242133331397201. The next prime is 242133331397239. The reversal of 242133331397233 is 332793133331242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137638486555249 + 104494844841984 = 11731943^2 + 10222272^2 .

It is a cyclic number.

It is not a de Polignac number, because 242133331397233 - 25 = 242133331397201 is a prime.

It is not a weakly prime, because it can be changed into another prime (242133331397239) 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, 121066665698616 + 121066665698617.

It is an arithmetic number, because the mean of its divisors is an integer number (121066665698617).

Almost surely, 2242133331397233 is an apocalyptic number.

It is an amenable number.

242133331397233 is a deficient number, since it is larger than the sum of its proper divisors (1).

242133331397233 is an equidigital number, since it uses as much as digits as its factorization.

242133331397233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4408992, while the sum is 49.

The spelling of 242133331397233 in words is "two hundred forty-two trillion, one hundred thirty-three billion, three hundred thirty-one million, three hundred ninety-seven thousand, two hundred thirty-three".