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123111213193 is a prime number
BaseRepresentation
bin111001010101000000…
…0000000100010001001
3102202202211110121122201
41302222000000202021
54004112432310233
6132320112320201
711615545021543
oct1625200004211
9382684417581
10123111213193
11482360856a1
121ba39843061
13b7bc93a217
145d5c61c693
1533081b677d
hex1caa000889

123111213193 has 2 divisors, whose sum is σ = 123111213194. Its totient is φ = 123111213192.

The previous prime is 123111213083. The next prime is 123111213227. The reversal of 123111213193 is 391312111321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109801437769 + 13309775424 = 331363^2 + 115368^2 .

It is an emirp because it is prime and its reverse (391312111321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123111213193 - 225 = 123077658761 is a prime.

It is not a weakly prime, because it can be changed into another prime (123111213893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61555606596 + 61555606597.

It is an arithmetic number, because the mean of its divisors is an integer number (61555606597).

Almost surely, 2123111213193 is an apocalyptic number.

It is an amenable number.

123111213193 is a deficient number, since it is larger than the sum of its proper divisors (1).

123111213193 is an equidigital number, since it uses as much as digits as its factorization.

123111213193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 28.

The spelling of 123111213193 in words is "one hundred twenty-three billion, one hundred eleven million, two hundred thirteen thousand, one hundred ninety-three".