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135322223329 is a prime number
BaseRepresentation
bin111111000000111010…
…1010100001011100001
3110221021211122012111101
41332001311110023201
54204114442121304
6142055520514401
712530260630306
oct1760165241341
9427254565441
10135322223329
115243195a307
122228717ba01
13c9b77125c7
14679a2870ad
1537c02188a4
hex1f81d542e1

135322223329 has 2 divisors, whose sum is σ = 135322223330. Its totient is φ = 135322223328.

The previous prime is 135322223249. The next prime is 135322223357. The reversal of 135322223329 is 923322223531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129704421025 + 5617802304 = 360145^2 + 74952^2 .

It is an emirp because it is prime and its reverse (923322223531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135322223329 - 29 = 135322222817 is a prime.

It is a super-3 number, since 3×1353222233293 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (135322223429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67661111664 + 67661111665.

It is an arithmetic number, because the mean of its divisors is an integer number (67661111665).

Almost surely, 2135322223329 is an apocalyptic number.

It is an amenable number.

135322223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

135322223329 is an equidigital number, since it uses as much as digits as its factorization.

135322223329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 116640, while the sum is 37.

The spelling of 135322223329 in words is "one hundred thirty-five billion, three hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty-nine".