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321431610061073 is a prime number
BaseRepresentation
bin100100100010101110010000…
…0111011111111000100010001
31120011002120011120022100221102
41021011130200323333010101
5314112313414133423243
63055343350530234145
7124463444641323341
oct11105344073770421
91504076146270842
10321431610061073
11934664201a1566
1230073723a25955
1310a47b42103b65
14595353149ad21
1527262919b89b8
hex1245720eff111

321431610061073 has 2 divisors, whose sum is σ = 321431610061074. Its totient is φ = 321431610061072.

The previous prime is 321431610061069. The next prime is 321431610061087. The reversal of 321431610061073 is 370160016134123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305935325874049 + 15496284187024 = 17491007^2 + 3936532^2 .

It is a cyclic number.

It is not a de Polignac number, because 321431610061073 - 22 = 321431610061069 is a prime.

It is a super-2 number, since 2×3214316100610732 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321431610063073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160715805030536 + 160715805030537.

It is an arithmetic number, because the mean of its divisors is an integer number (160715805030537).

Almost surely, 2321431610061073 is an apocalyptic number.

It is an amenable number.

321431610061073 is a deficient number, since it is larger than the sum of its proper divisors (1).

321431610061073 is an equidigital number, since it uses as much as digits as its factorization.

321431610061073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

Adding to 321431610061073 its reverse (370160016134123), we get a palindrome (691591626195196).

The spelling of 321431610061073 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, six hundred ten million, sixty-one thousand, seventy-three".