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71427123329 is a prime number
BaseRepresentation
bin100001010000101100…
…0110110100010000001
320211100212201211001012
41002201120312202001
52132240320421304
652451351050305
75106013350032
oct1024130664201
9224325654035
1071427123329
1128323826a41
1211a14970995
136974001923
143658388a89
151cd0a6216e
hex10a1636881

71427123329 has 2 divisors, whose sum is σ = 71427123330. Its totient is φ = 71427123328.

The previous prime is 71427123311. The next prime is 71427123349. The reversal of 71427123329 is 92332172417.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59470138225 + 11956985104 = 243865^2 + 109348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-71427123329 is a prime.

It is not a weakly prime, because it can be changed into another prime (71427123349) 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 as a sum of consecutive naturals, namely, 35713561664 + 35713561665.

It is an arithmetic number, because the mean of its divisors is an integer number (35713561665).

Almost surely, 271427123329 is an apocalyptic number.

It is an amenable number.

71427123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

71427123329 is an equidigital number, since it uses as much as digits as its factorization.

71427123329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 41.

The spelling of 71427123329 in words is "seventy-one billion, four hundred twenty-seven million, one hundred twenty-three thousand, three hundred twenty-nine".