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135042241133 is a prime number
BaseRepresentation
bin111110111000100100…
…1010001001001101101
3110220120022210122010102
41331301021101021231
54203031303204013
6142012035520445
712520321052552
oct1756111211155
9426508718112
10135042241133
11522a8908568
1222209459125
13c971703077
146771004a29
1537a5860d58
hex1f7125126d

135042241133 has 2 divisors, whose sum is σ = 135042241134. Its totient is φ = 135042241132.

The previous prime is 135042241129. The next prime is 135042241151. The reversal of 135042241133 is 331142240531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129973228324 + 5069012809 = 360518^2 + 71197^2 .

It is an emirp because it is prime and its reverse (331142240531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135042241133 - 22 = 135042241129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135042241096 and 135042241105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135042241123) 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, 67521120566 + 67521120567.

It is an arithmetic number, because the mean of its divisors is an integer number (67521120567).

Almost surely, 2135042241133 is an apocalyptic number.

It is an amenable number.

135042241133 is a deficient number, since it is larger than the sum of its proper divisors (1).

135042241133 is an equidigital number, since it uses as much as digits as its factorization.

135042241133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 135042241133 its reverse (331142240531), we get a palindrome (466184481664).

The spelling of 135042241133 in words is "one hundred thirty-five billion, forty-two million, two hundred forty-one thousand, one hundred thirty-three".