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321195020441137 is a prime number
BaseRepresentation
bin100100100001000000000101…
…1000110001101011000110001
31120010020221111020012101220021
41021002000023012031120301
5314044424400213104022
63055042542205443441
7124440401013614503
oct11102001306153061
91503227436171807
10321195020441137
1193385052558347
12300358b6570581
1310a2b739450acb
145945cc9b1bd73
1527200461657c7
hex124200b18d631

321195020441137 has 2 divisors, whose sum is σ = 321195020441138. Its totient is φ = 321195020441136.

The previous prime is 321195020441129. The next prime is 321195020441143. The reversal of 321195020441137 is 731144020591123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276930069958656 + 44264950482481 = 16641216^2 + 6653191^2 .

It is a cyclic number.

It is not a de Polignac number, because 321195020441137 - 23 = 321195020441129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321195020441093 and 321195020441102.

It is not a weakly prime, because it can be changed into another prime (321195020441147) 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, 160597510220568 + 160597510220569.

It is an arithmetic number, because the mean of its divisors is an integer number (160597510220569).

Almost surely, 2321195020441137 is an apocalyptic number.

It is an amenable number.

321195020441137 is a deficient number, since it is larger than the sum of its proper divisors (1).

321195020441137 is an equidigital number, since it uses as much as digits as its factorization.

321195020441137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 321195020441137 in words is "three hundred twenty-one trillion, one hundred ninety-five billion, twenty million, four hundred forty-one thousand, one hundred thirty-seven".