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132845101415017 is a prime number
BaseRepresentation
bin11110001101001001101001…
…000101000111101001101001
3122102100212102112021011000221
4132031021221011013221221
5114403013231430240032
61150312110323130041
736660512311544455
oct3615115105075151
9572325375234027
10132845101415017
1139368322536412
1212a9632b813921
1359183159c4934
1424b3a46cc1665
15105591513a597
hex78d269147a69

132845101415017 has 2 divisors, whose sum is σ = 132845101415018. Its totient is φ = 132845101415016.

The previous prime is 132845101414979. The next prime is 132845101415071. The reversal of 132845101415017 is 710514101548231.

Together with next prime (132845101415071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114112729710736 + 18732371704281 = 10682356^2 + 4328091^2 .

It is a cyclic number.

It is not a de Polignac number, because 132845101415017 - 227 = 132844967197289 is a prime.

It is a super-2 number, since 2×1328451014150172 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (132845101715017) 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, 66422550707508 + 66422550707509.

It is an arithmetic number, because the mean of its divisors is an integer number (66422550707509).

Almost surely, 2132845101415017 is an apocalyptic number.

It is an amenable number.

132845101415017 is a deficient number, since it is larger than the sum of its proper divisors (1).

132845101415017 is an equidigital number, since it uses as much as digits as its factorization.

132845101415017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 132845101415017 in words is "one hundred thirty-two trillion, eight hundred forty-five billion, one hundred one million, four hundred fifteen thousand, seventeen".