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320332223223233 = 13213715311529797
BaseRepresentation
bin100100011010101110010100…
…0011000000001010111000001
31120000012110110102000110120022
41020311130220120001113001
5313441310343121120413
63053142331455023225
7124321145053354514
oct11065345030012701
91500173412013508
10320332223223233
1193082150a69361
122bb1664550ab15
1310998278382440
14591623b604d7b
152707899c85608
hex12357286015c1

320332223223233 has 8 divisors (see below), whose sum is σ = 344973354808488. Its totient is φ = 295691118971904.

The previous prime is 320332223223191. The next prime is 320332223223239. The reversal of 320332223223233 is 332322322233023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70921207489729 + 249411015733504 = 8421473^2 + 15792752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 320332223223233 - 246 = 249963479045569 is a prime.

It is a super-2 number, since 2×3203322232232332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320332223223193 and 320332223223202.

It is not an unprimeable number, because it can be changed into a prime (320332223223239) 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 7 ways as a sum of consecutive naturals, for example, 22018091 + ... + 33547887.

It is an arithmetic number, because the mean of its divisors is an integer number (43121669351061).

Almost surely, 2320332223223233 is an apocalyptic number.

It is an amenable number.

320332223223233 is a deficient number, since it is larger than the sum of its proper divisors (24641131585255).

320332223223233 is a wasteful number, since it uses less digits than its factorization.

320332223223233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666963.

The product of its (nonzero) digits is 279936, while the sum is 35.

Adding to 320332223223233 its reverse (332322322233023), we get a palindrome (652654545456256).

The spelling of 320332223223233 in words is "three hundred twenty trillion, three hundred thirty-two billion, two hundred twenty-three million, two hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 2137153 11529797 27782989 149887361 24640940247941 320332223223233