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320323100321 = 72172913260053
BaseRepresentation
bin1001010100101001011…
…11101001111010100001
31010121210212102111022102
410222110233221322201
520222010203202241
6403053203420145
732066622266600
oct4522457517241
91117725374272
10320323100321
11113937048384
12520b7684655
132428b431963
141170a2d1a37
1584eb99d39b
hex4a94be9ea1

320323100321 has 24 divisors (see below), whose sum is σ = 408144462120. Its totient is φ = 249501138432.

The previous prime is 320323100281. The next prime is 320323100353. The reversal of 320323100321 is 123001323023.

It can be written as a sum of positive squares in 4 ways, for example, as 151041049600 + 169282050721 = 388640^2 + 411439^2 .

It is not a de Polignac number, because 320323100321 - 26 = 320323100257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320323100293 and 320323100302.

It is not an unprimeable number, because it can be changed into a prime (320323100381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6605870 + ... + 6654183.

It is an arithmetic number, because the mean of its divisors is an integer number (17006019255).

Almost surely, 2320323100321 is an apocalyptic number.

It is an amenable number.

320323100321 is a deficient number, since it is larger than the sum of its proper divisors (87821361799).

320323100321 is a wasteful number, since it uses less digits than its factorization.

320323100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13260113 (or 13260106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 320323100321 its reverse (123001323023), we get a palindrome (443324423344).

The spelling of 320323100321 in words is "three hundred twenty billion, three hundred twenty-three million, one hundred thousand, three hundred twenty-one".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 24157 13260053 92820371 225420901 384541537 649742597 1577946307 2691790759 6537206129 11045624149 18842535313 45760442903 320323100321