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122354041141 is a prime number
BaseRepresentation
bin111000111110011011…
…1101000000100110101
3102200211001201021212101
41301330313220010311
54001040113304031
6132113023422101
711561022122053
oct1617467500465
9380731637771
10122354041141
1147987737072
121b868154931
13b6cbb01117
145cc9c411d3
1532b199e361
hex1c7cde8135

122354041141 has 2 divisors, whose sum is σ = 122354041142. Its totient is φ = 122354041140.

The previous prime is 122354041031. The next prime is 122354041153. The reversal of 122354041141 is 141140453221.

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., 77244529041 + 45109512100 = 277929^2 + 212390^2 .

It is a cyclic number.

It is not a de Polignac number, because 122354041141 - 27 = 122354041013 is a prime.

It is a super-2 number, since 2×1223540411412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122354041181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61177020570 + 61177020571.

It is an arithmetic number, because the mean of its divisors is an integer number (61177020571).

Almost surely, 2122354041141 is an apocalyptic number.

It is an amenable number.

122354041141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122354041141 is an equidigital number, since it uses as much as digits as its factorization.

122354041141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 122354041141 its reverse (141140453221), we get a palindrome (263494494362).

The spelling of 122354041141 in words is "one hundred twenty-two billion, three hundred fifty-four million, forty-one thousand, one hundred forty-one".