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12322534160033 = 596723017135433
BaseRepresentation
bin1011001101010001000001…
…0001010111011010100001
31121122000121121000001211022
42303110100101113122201
53103343022221110113
642112521040255225
72411162612103416
oct263242021273241
947560547001738
1012322534160033
113a20a59316059
121470233911515
136b5018c25ba6
143085b17ca10d
1516580da72908
hexb35104576a1

12322534160033 has 16 divisors (see below), whose sum is σ = 12719072832960. Its totient is φ = 11932269947136.

The previous prime is 12322534159997. The next prime is 12322534160051. The reversal of 12322534160033 is 33006143522321.

It is a cyclic number.

It is not a de Polignac number, because 12322534160033 - 214 = 12322534143649 is a prime.

It is a super-3 number, since 3×123225341600333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12322534159975 and 12322534160002.

It is not an unprimeable number, because it can be changed into a prime (12322534100033) 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 in 15 ways as a sum of consecutive naturals, for example, 90918485 + ... + 91053917.

It is an arithmetic number, because the mean of its divisors is an integer number (794942052060).

Almost surely, 212322534160033 is an apocalyptic number.

It is an amenable number.

12322534160033 is a deficient number, since it is larger than the sum of its proper divisors (396538672927).

12322534160033 is a wasteful number, since it uses less digits than its factorization.

12322534160033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158576.

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 12322534160033 its reverse (33006143522321), we get a palindrome (45328677682354).

The spelling of 12322534160033 in words is "twelve trillion, three hundred twenty-two billion, five hundred thirty-four million, one hundred sixty thousand, thirty-three".

Divisors: 1 59 67 3953 23017 135433 1358003 1542139 7990547 9074011 90986201 535366649 3117261361 183918420299 208856511187 12322534160033