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121313232193 is a prime number
BaseRepresentation
bin111000011111011010…
…1010000010101000001
3102121010112020201101211
41300332311100111001
53441422141412233
6131421443330121
711523153313456
oct1607665202501
9377115221354
10121313232193
11474a317a98a
121b617680941
13b5942a613a
145c2b90d82d
15325040b5cd
hex1c3ed50541

121313232193 has 2 divisors, whose sum is σ = 121313232194. Its totient is φ = 121313232192.

The previous prime is 121313232191. The next prime is 121313232223. The reversal of 121313232193 is 391232313121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121192408129 + 120824064 = 348127^2 + 10992^2 .

It is a cyclic number.

It is not a de Polignac number, because 121313232193 - 21 = 121313232191 is a prime.

It is a super-2 number, since 2×1213132321932 (a number of 23 digits) contains 22 as substring.

Together with 121313232191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121313232191) 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, 60656616096 + 60656616097.

It is an arithmetic number, because the mean of its divisors is an integer number (60656616097).

Almost surely, 2121313232193 is an apocalyptic number.

It is an amenable number.

121313232193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121313232193 is an equidigital number, since it uses as much as digits as its factorization.

121313232193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 31.

The spelling of 121313232193 in words is "one hundred twenty-one billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred ninety-three".