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122673343181 is a prime number
BaseRepresentation
bin111001000111111100…
…1101010101011001101
3102201122022112111220212
41302033321222223031
54002213333440211
6132204431252205
711601650132564
oct1621771525315
9381568474825
10122673343181
11480309a4454
121b93707a065
13b74ccc973c
145d1a3dabdb
1532cea2238b
hex1c8fe6aacd

122673343181 has 2 divisors, whose sum is σ = 122673343182. Its totient is φ = 122673343180.

The previous prime is 122673343151. The next prime is 122673343183. The reversal of 122673343181 is 181343376221.

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., 120523537225 + 2149805956 = 347165^2 + 46366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122673343181 is a prime.

It is a super-2 number, since 2×1226733431812 (a number of 23 digits) contains 22 as substring.

Together with 122673343183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122673343183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61336671590 + 61336671591.

It is an arithmetic number, because the mean of its divisors is an integer number (61336671591).

Almost surely, 2122673343181 is an apocalyptic number.

It is an amenable number.

122673343181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122673343181 is an equidigital number, since it uses as much as digits as its factorization.

122673343181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 41.

The spelling of 122673343181 in words is "one hundred twenty-two billion, six hundred seventy-three million, three hundred forty-three thousand, one hundred eighty-one".