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320031976804409 is a prime number
BaseRepresentation
bin100100011000100010100000…
…0010010110101000000111001
31112222010202110201102001202002
41020301011000102311000321
5313421400442030220114
63052352354400150345
7124260355504044002
oct11061050022650071
91488122421361662
10320031976804409
1192a76887764a41
122ba884116083b5
1310975b6949619c
1459058b787a1a9
1526eeb75b4d7de
hex12311404b5039

320031976804409 has 2 divisors, whose sum is σ = 320031976804410. Its totient is φ = 320031976804408.

The previous prime is 320031976804381. The next prime is 320031976804439. The reversal of 320031976804409 is 904408679130023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319730268286009 + 301708518400 = 17881003^2 + 549280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320031976804409 is a prime.

It is a super-3 number, since 3×3200319768044093 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (320031976804439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160015988402204 + 160015988402205.

It is an arithmetic number, because the mean of its divisors is an integer number (160015988402205).

Almost surely, 2320031976804409 is an apocalyptic number.

It is an amenable number.

320031976804409 is a deficient number, since it is larger than the sum of its proper divisors (1).

320031976804409 is an equidigital number, since it uses as much as digits as its factorization.

320031976804409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 320031976804409 in words is "three hundred twenty trillion, thirty-one billion, nine hundred seventy-six million, eight hundred four thousand, four hundred nine".