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122621101241 is a prime number
BaseRepresentation
bin111001000110011001…
…0011000010010111001
3102201111200020100110012
41302030302120102321
54002112000214431
6132155323431305
711600444106662
oct1621462302271
9381450210405
10122621101241
11480044622a1
121b921685535
13b742237a52
145d134bc369
1532ca15322b
hex1c8cc984b9

122621101241 has 2 divisors, whose sum is σ = 122621101242. Its totient is φ = 122621101240.

The previous prime is 122621101237. The next prime is 122621101243. The reversal of 122621101241 is 142101126221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83266873600 + 39354227641 = 288560^2 + 198379^2 .

It is a cyclic number.

It is not a de Polignac number, because 122621101241 - 22 = 122621101237 is a prime.

Together with 122621101243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122621101243) 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, 61310550620 + 61310550621.

It is an arithmetic number, because the mean of its divisors is an integer number (61310550621).

Almost surely, 2122621101241 is an apocalyptic number.

It is an amenable number.

122621101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621101241 is an equidigital number, since it uses as much as digits as its factorization.

122621101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 122621101241 its reverse (142101126221), we get a palindrome (264722227462).

The spelling of 122621101241 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred one thousand, two hundred forty-one".