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320133321 = 32321711057
BaseRepresentation
bin10011000101001…
…101100011001001
3211022101110100200
4103011031203021
51123423231241
651433322413
710635042204
oct2305154311
9738343320
10320133321
111547859a2
128b266409
1351429b01
143073493b
151d1894b6
hex1314d8c9

320133321 has 12 divisors (see below), whose sum is σ = 462600372. Its totient is φ = 213336576.

The previous prime is 320133301. The next prime is 320133347. The reversal of 320133321 is 123331023.

320133321 is a `hidden beast` number, since 320 + 13 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 139499721 = 13440^2 + 11811^2 .

It is not a de Polignac number, because 320133321 - 29 = 320132809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320133294 and 320133303.

It is not an unprimeable number, because it can be changed into a prime (320133301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23425 + ... + 34481.

It is an arithmetic number, because the mean of its divisors is an integer number (38550031).

Almost surely, 2320133321 is an apocalyptic number.

It is an amenable number.

320133321 is a deficient number, since it is larger than the sum of its proper divisors (142467051).

320133321 is a wasteful number, since it uses less digits than its factorization.

320133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 320133321 is about 17892.2698671801. The cubic root of 320133321 is about 684.0853553582.

Adding to 320133321 its reverse (123331023), we get a palindrome (443464344).

The spelling of 320133321 in words is "three hundred twenty million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 3217 9651 11057 28953 33171 99513 35570369 106711107 320133321