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321147071481601 is a prime number
BaseRepresentation
bin100100100000101001110000…
…1000111011100011100000001
31120010002100201120202212212001
41021001103201013130130001
5314043133200244402401
63055004532233104001
7124434052545313531
oct11101234107343401
91503070646685761
10321147071481601
1193366787623362
1230028554558001
1310a270675b92c1
14594385b9714c1
15271db8b8b6601
hex12414e11dc701

321147071481601 has 2 divisors, whose sum is σ = 321147071481602. Its totient is φ = 321147071481600.

The previous prime is 321147071481491. The next prime is 321147071481611. The reversal of 321147071481601 is 106184170741123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318466153184400 + 2680918297201 = 17845620^2 + 1637351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321147071481601 is a prime.

It is not a weakly prime, because it can be changed into another prime (321147071481611) 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 as a sum of consecutive naturals, namely, 160573535740800 + 160573535740801.

It is an arithmetic number, because the mean of its divisors is an integer number (160573535740801).

Almost surely, 2321147071481601 is an apocalyptic number.

It is an amenable number.

321147071481601 is a deficient number, since it is larger than the sum of its proper divisors (1).

321147071481601 is an equidigital number, since it uses as much as digits as its factorization.

321147071481601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 321147071481601 in words is "three hundred twenty-one trillion, one hundred forty-seven billion, seventy-one million, four hundred eighty-one thousand, six hundred one".