Search a number
-
+
122101132261 is a prime number
BaseRepresentation
bin111000110110111001…
…0110110101111100101
3102200011102211012002211
41301231302312233211
54000030342213021
6132031551003421
711551531333303
oct1615562665745
9380142735084
10122101132261
11478679a6969
121b7b7509571
13b68b5b06b4
145ca4409273
1532996933e1
hex1c6dcb6be5

122101132261 has 2 divisors, whose sum is σ = 122101132262. Its totient is φ = 122101132260.

The previous prime is 122101132189. The next prime is 122101132273. The reversal of 122101132261 is 162231101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88138328161 + 33962804100 = 296881^2 + 184290^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101132261 - 211 = 122101130213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101132291) 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, 61050566130 + 61050566131.

It is an arithmetic number, because the mean of its divisors is an integer number (61050566131).

Almost surely, 2122101132261 is an apocalyptic number.

It is an amenable number.

122101132261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101132261 is an equidigital number, since it uses as much as digits as its factorization.

122101132261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122101132261 its reverse (162231101221), we get a palindrome (284332233482).

The spelling of 122101132261 in words is "one hundred twenty-two billion, one hundred one million, one hundred thirty-two thousand, two hundred sixty-one".