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442514323133 is a prime number
BaseRepresentation
bin1100111000001111110…
…10001011011010111101
31120022012120202202102022
412130013322023122331
524222232131320013
6535142133405525
743653626453651
oct6340772133275
91508176682368
10442514323133
1116073a887643
12719191998a5
133296259656c
14175bc66ca61
15b79deda008
hex6707e8b6bd

442514323133 has 2 divisors, whose sum is σ = 442514323134. Its totient is φ = 442514323132.

The previous prime is 442514323099. The next prime is 442514323211. The reversal of 442514323133 is 331323415244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300744753604 + 141769569529 = 548402^2 + 376523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442514323133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442514323093 and 442514323102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442514328133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221257161566 + 221257161567.

It is an arithmetic number, because the mean of its divisors is an integer number (221257161567).

Almost surely, 2442514323133 is an apocalyptic number.

It is an amenable number.

442514323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

442514323133 is an equidigital number, since it uses as much as digits as its factorization.

442514323133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 35.

Adding to 442514323133 its reverse (331323415244), we get a palindrome (773837738377).

The spelling of 442514323133 in words is "four hundred forty-two billion, five hundred fourteen million, three hundred twenty-three thousand, one hundred thirty-three".