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135143124041 is a prime number
BaseRepresentation
bin111110111011100101…
…0000110110001001001
3110220211100122000110102
41331313022012301021
54203233114432131
6142030042055145
712522654413042
oct1756712066111
9426740560412
10135143124041
115234a852372
12222371aa4b5
13c9895956b3
1467805858c9
1537ae63c1cb
hex1f77286c49

135143124041 has 2 divisors, whose sum is σ = 135143124042. Its totient is φ = 135143124040.

The previous prime is 135143124001. The next prime is 135143124043. The reversal of 135143124041 is 140421341531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101432695225 + 33710428816 = 318485^2 + 183604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135143124041 is a prime.

It is a super-2 number, since 2×1351431240412 (a number of 23 digits) contains 22 as substring.

Together with 135143124043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 135143123995 and 135143124013.

It is not a weakly prime, because it can be changed into another prime (135143124043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67571562020 + 67571562021.

It is an arithmetic number, because the mean of its divisors is an integer number (67571562021).

Almost surely, 2135143124041 is an apocalyptic number.

It is an amenable number.

135143124041 is a deficient number, since it is larger than the sum of its proper divisors (1).

135143124041 is an equidigital number, since it uses as much as digits as its factorization.

135143124041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 135143124041 its reverse (140421341531), we get a palindrome (275564465572).

The spelling of 135143124041 in words is "one hundred thirty-five billion, one hundred forty-three million, one hundred twenty-four thousand, forty-one".