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242503135129 is a prime number
BaseRepresentation
bin1110000111011001010…
…0000010111110011001
3212011221110102122212101
43201312110002332121
512433121300311004
6303223203443401
723343311431603
oct3416624027631
9764843378771
10242503135129
1193932774762
123abb9986561
1319b38b5ab88
14ba46cb8173
156494aa5ba4
hex3876502f99

242503135129 has 2 divisors, whose sum is σ = 242503135130. Its totient is φ = 242503135128.

The previous prime is 242503135093. The next prime is 242503135159. The reversal of 242503135129 is 921531305242.

242503135129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232828445529 + 9674689600 = 482523^2 + 98360^2 .

It is a cyclic number.

It is not a de Polignac number, because 242503135129 - 213 = 242503126937 is a prime.

It is not a weakly prime, because it can be changed into another prime (242503135159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121251567564 + 121251567565.

It is an arithmetic number, because the mean of its divisors is an integer number (121251567565).

Almost surely, 2242503135129 is an apocalyptic number.

It is an amenable number.

242503135129 is a deficient number, since it is larger than the sum of its proper divisors (1).

242503135129 is an equidigital number, since it uses as much as digits as its factorization.

242503135129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 242503135129 in words is "two hundred forty-two billion, five hundred three million, one hundred thirty-five thousand, one hundred twenty-nine".