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242133137 is a prime number
BaseRepresentation
bin11100110111010…
…10100010010001
3121212121122012222
432123222202101
5443441230022
640005430425
76000045341
oct1633524221
9555548188
10242133137
11114750234
126910b415
133b219a5c
142422cd21
15163cd242
hexe6ea891

242133137 has 2 divisors, whose sum is σ = 242133138. Its totient is φ = 242133136.

The previous prime is 242133127. The next prime is 242133163. The reversal of 242133137 is 731331242.

242133137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (242133163) can be obtained adding 242133137 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190881856 + 51251281 = 13816^2 + 7159^2 .

It is a cyclic number.

It is not a de Polignac number, because 242133137 - 28 = 242132881 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (242133107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121066568 + 121066569.

It is an arithmetic number, because the mean of its divisors is an integer number (121066569).

Almost surely, 2242133137 is an apocalyptic number.

It is an amenable number.

242133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

242133137 is an equidigital number, since it uses as much as digits as its factorization.

242133137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 26.

The square root of 242133137 is about 15560.6277829656. The cubic root of 242133137 is about 623.2822267065.

Adding to 242133137 its reverse (731331242), we get a palindrome (973464379).

The spelling of 242133137 in words is "two hundred forty-two million, one hundred thirty-three thousand, one hundred thirty-seven".