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121505435017 is a prime number
BaseRepresentation
bin111000100101001001…
…0011100110110001001
3102121121220220122002221
41301022102130312021
53442320342410032
6131452511054041
711531006104531
oct1611222346611
9377556818087
10121505435017
114759171779a
121b66bb11321
13b5c5060415
145c492624c1
153262225597
hex1c4a49cd89

121505435017 has 2 divisors, whose sum is σ = 121505435018. Its totient is φ = 121505435016.

The previous prime is 121505434969. The next prime is 121505435021. The reversal of 121505435017 is 710534505121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120838969161 + 666465856 = 347619^2 + 25816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121505435017 is a prime.

It is not a weakly prime, because it can be changed into another prime (121505435057) 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, 60752717508 + 60752717509.

It is an arithmetic number, because the mean of its divisors is an integer number (60752717509).

Almost surely, 2121505435017 is an apocalyptic number.

It is an amenable number.

121505435017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121505435017 is an equidigital number, since it uses as much as digits as its factorization.

121505435017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 121505435017 in words is "one hundred twenty-one billion, five hundred five million, four hundred thirty-five thousand, seventeen".