Search a number
-
+
243120138329 is a prime number
BaseRepresentation
bin1110001001101100010…
…1101110100001011001
3212020112110102200010202
43202123011232201121
512440402223411304
6303404324151545
723364513036005
oct3423305564131
9766473380122
10243120138329
1194119a86362
123b1505385b5
1319c0692ab23
14baa4c09705
1564cdd3181e
hex389b16e859

243120138329 has 2 divisors, whose sum is σ = 243120138330. Its totient is φ = 243120138328.

The previous prime is 243120138299. The next prime is 243120138367. The reversal of 243120138329 is 923831021342.

243120138329 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 (243120138367) can be obtained adding 243120138329 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175831778329 + 67288360000 = 419323^2 + 259400^2 .

It is a cyclic number.

It is not a de Polignac number, because 243120138329 - 220 = 243119089753 is a prime.

It is a super-2 number, since 2×2431201383292 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 243120138292 and 243120138301.

It is not a weakly prime, because it can be changed into another prime (243120158329) 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, 121560069164 + 121560069165.

It is an arithmetic number, because the mean of its divisors is an integer number (121560069165).

Almost surely, 2243120138329 is an apocalyptic number.

It is an amenable number.

243120138329 is a deficient number, since it is larger than the sum of its proper divisors (1).

243120138329 is an equidigital number, since it uses as much as digits as its factorization.

243120138329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 243120138329 in words is "two hundred forty-three billion, one hundred twenty million, one hundred thirty-eight thousand, three hundred twenty-nine".