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122241032223341 is a prime number
BaseRepresentation
bin11011110010110101110101…
…010011010111101001101101
3121000211010110201021111010112
4123302311311103113221231
5112010244113222121331
61111552431022545405
734514423506606433
oct3362656523275155
9530733421244115
10122241032223341
1135a4a148966979
121186316a438265
135329383b728b5
1422286d7306d53
15e1eb82ed832b
hex6f2d754d7a6d

122241032223341 has 2 divisors, whose sum is σ = 122241032223342. Its totient is φ = 122241032223340.

The previous prime is 122241032223301. The next prime is 122241032223371. The reversal of 122241032223341 is 143322230142221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122198742357316 + 42289866025 = 11054354^2 + 205645^2 .

It is a cyclic number.

It is not a de Polignac number, because 122241032223341 - 222 = 122241028029037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122241032223298 and 122241032223307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122241032223301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61120516111670 + 61120516111671.

It is an arithmetic number, because the mean of its divisors is an integer number (61120516111671).

Almost surely, 2122241032223341 is an apocalyptic number.

It is an amenable number.

122241032223341 is a deficient number, since it is larger than the sum of its proper divisors (1).

122241032223341 is an equidigital number, since it uses as much as digits as its factorization.

122241032223341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 122241032223341 its reverse (143322230142221), we get a palindrome (265563262365562).

The spelling of 122241032223341 in words is "one hundred twenty-two trillion, two hundred forty-one billion, thirty-two million, two hundred twenty-three thousand, three hundred forty-one".