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171981880097 is a prime number
BaseRepresentation
bin1010000000101011101…
…0110011101100100001
3121102220201020201111212
42200022322303230201
510304204330130342
6211001332315505
715265604601146
oct2401272635441
9542821221455
10171981880097
1166a34319005
12293b8472b95
13132aa7289c1
148476d763cd
15471882e182
hex280aeb3b21

171981880097 has 2 divisors, whose sum is σ = 171981880098. Its totient is φ = 171981880096.

The previous prime is 171981880093. The next prime is 171981880121. The reversal of 171981880097 is 790088189171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155832299536 + 16149580561 = 394756^2 + 127081^2 .

It is an emirp because it is prime and its reverse (790088189171) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 171981880097 - 22 = 171981880093 is a prime.

It is not a weakly prime, because it can be changed into another prime (171981880093) 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, 85990940048 + 85990940049.

It is an arithmetic number, because the mean of its divisors is an integer number (85990940049).

Almost surely, 2171981880097 is an apocalyptic number.

It is an amenable number.

171981880097 is a deficient number, since it is larger than the sum of its proper divisors (1).

171981880097 is an equidigital number, since it uses as much as digits as its factorization.

171981880097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 59.

The spelling of 171981880097 in words is "one hundred seventy-one billion, nine hundred eighty-one million, eight hundred eighty thousand, ninety-seven".