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2442013324133 is a prime number
BaseRepresentation
bin100011100010010011010…
…101100011001101100101
322122110021002220012221212
4203202103111203031211
5310002220402333013
65105502340321205
7341300236524365
oct43422325431545
98573232805855
102442013324133
11861719949469
123353413a3205
131493860b5c06
14862a07869a5
15437c80036a8
hex23893563365

2442013324133 has 2 divisors, whose sum is σ = 2442013324134. Its totient is φ = 2442013324132.

The previous prime is 2442013324103. The next prime is 2442013324169. The reversal of 2442013324133 is 3314233102442.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2409396241729 + 32617082404 = 1552223^2 + 180602^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442013324133 - 210 = 2442013323109 is a prime.

It is a super-3 number, since 3×24420133241333 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2442013324133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2442013324103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221006662066 + 1221006662067.

It is an arithmetic number, because the mean of its divisors is an integer number (1221006662067).

Almost surely, 22442013324133 is an apocalyptic number.

It is an amenable number.

2442013324133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442013324133 is an equidigital number, since it uses as much as digits as its factorization.

2442013324133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2442013324133 its reverse (3314233102442), we get a palindrome (5756246426575).

The spelling of 2442013324133 in words is "two trillion, four hundred forty-two billion, thirteen million, three hundred twenty-four thousand, one hundred thirty-three".