Search a number
-
+
121833749321 is a prime number
BaseRepresentation
bin111000101110111011…
…0110111101101001001
3102122110210200201122222
41301131312313231021
53444003414434241
6131545240023425
711542103532224
oct1613566675511
9378423621588
10121833749321
114773aa80129
121b741a61b75
13b648092b3b
145c7aac65bb
153280e78a4b
hex1c5ddb7b49

121833749321 has 2 divisors, whose sum is σ = 121833749322. Its totient is φ = 121833749320.

The previous prime is 121833749299. The next prime is 121833749327. The reversal of 121833749321 is 123947338121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90261790096 + 31571959225 = 300436^2 + 177685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121833749321 is a prime.

It is a super-2 number, since 2×1218337493212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121833749327) 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, 60916874660 + 60916874661.

It is an arithmetic number, because the mean of its divisors is an integer number (60916874661).

Almost surely, 2121833749321 is an apocalyptic number.

It is an amenable number.

121833749321 is a deficient number, since it is larger than the sum of its proper divisors (1).

121833749321 is an equidigital number, since it uses as much as digits as its factorization.

121833749321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 44.

The spelling of 121833749321 in words is "one hundred twenty-one billion, eight hundred thirty-three million, seven hundred forty-nine thousand, three hundred twenty-one".