Search a number
-
+
121120103017 is a prime number
BaseRepresentation
bin111000011001101010…
…0100001101001101001
3102120122001211201222101
41300303110201221221
53441023221244032
6131350344053401
711515316613604
oct1606324415151
9376561751871
10121120103017
11474041600a1
121b582a64261
13b563286314
145c0ddd933b
15323d4acde7
hex1c33521a69

121120103017 has 2 divisors, whose sum is σ = 121120103018. Its totient is φ = 121120103016.

The previous prime is 121120102981. The next prime is 121120103021. The reversal of 121120103017 is 710301021121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105970431961 + 15149671056 = 325531^2 + 123084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121120103017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121120102985 and 121120103003.

It is not a weakly prime, because it can be changed into another prime (121120103087) 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, 60560051508 + 60560051509.

It is an arithmetic number, because the mean of its divisors is an integer number (60560051509).

Almost surely, 2121120103017 is an apocalyptic number.

It is an amenable number.

121120103017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121120103017 is an equidigital number, since it uses as much as digits as its factorization.

121120103017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 121120103017 its reverse (710301021121), we get a palindrome (831421124138).

The spelling of 121120103017 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred three thousand, seventeen".