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320321301313 = 13174615775449
BaseRepresentation
bin1001010100101001010…
…00110010101101000001
31010121210202001002112111
410222110220302231001
520222004223120223
6403053101055321
732066601064636
oct4522450625501
91117722032474
10320321301313
111139360297a2
12520b6b57541
132428ac51b60
1411709d8418d
1584eb74530d
hex4a94a32b41

320321301313 has 32 divisors (see below), whose sum is σ = 366747242400. Its totient is φ = 277152399360.

The previous prime is 320321301301. The next prime is 320321301361. The reversal of 320321301313 is 313103123023.

It can be written as a sum of positive squares in 16 ways, for example, as 50926046224 + 269395255089 = 225668^2 + 519033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320321301313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320321302313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58782613 + ... + 58788061.

It is an arithmetic number, because the mean of its divisors is an integer number (11460851325).

Almost surely, 2320321301313 is an apocalyptic number.

It is an amenable number.

320321301313 is a deficient number, since it is larger than the sum of its proper divisors (46425941087).

320321301313 is a wasteful number, since it uses less digits than its factorization.

320321301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 320321301313 its reverse (313103123023), we get a palindrome (633424424336).

The spelling of 320321301313 in words is "three hundred twenty billion, three hundred twenty-one million, three hundred one thousand, three hundred thirteen".

Divisors: 1 13 17 221 461 577 5449 5993 7501 7837 9809 70837 92633 101881 127517 265997 1204229 2511989 3144073 3457961 4521949 32655857 40872949 42703813 53449241 58785337 555149569 694840133 1449417653 18842429489 24640100101 320321301313