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122343100181 is a prime number
BaseRepresentation
bin111000111110000110…
…1111000111100010101
3102200210022010102200122
41301330031320330111
54001024313201211
6132111553121325
711560530123161
oct1617415707425
9380708112618
10122343100181
1147981543a55
121b864559245
13b6c9770193
145cc85d3ca1
1532b0a3c6db
hex1c7c378f15

122343100181 has 2 divisors, whose sum is σ = 122343100182. Its totient is φ = 122343100180.

The previous prime is 122343100171. The next prime is 122343100261. The reversal of 122343100181 is 181001343221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65694816100 + 56648284081 = 256310^2 + 238009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122343100181 is a prime.

It is a super-2 number, since 2×1223431001812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122343100181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122343100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61171550090 + 61171550091.

It is an arithmetic number, because the mean of its divisors is an integer number (61171550091).

Almost surely, 2122343100181 is an apocalyptic number.

It is an amenable number.

122343100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122343100181 is an equidigital number, since it uses as much as digits as its factorization.

122343100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 122343100181 in words is "one hundred twenty-two billion, three hundred forty-three million, one hundred thousand, one hundred eighty-one".