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123213321193 is a prime number
BaseRepresentation
bin111001011000000010…
…1100001001111101001
3102210000221121020111111
41302300011201033221
54004320102234233
6132334201030321
711621224643524
oct1626005411751
9383027536444
10123213321193
1148288786976
121ba67a853a1
13b807b3b361
145d6bddbbbb
153312135acd
hex1cb01613e9

123213321193 has 2 divisors, whose sum is σ = 123213321194. Its totient is φ = 123213321192.

The previous prime is 123213321113. The next prime is 123213321223. The reversal of 123213321193 is 391123312321.

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., 121949020944 + 1264300249 = 349212^2 + 35557^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123213321193 is a prime.

It is not a weakly prime, because it can be changed into another prime (123213321113) 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, 61606660596 + 61606660597.

It is an arithmetic number, because the mean of its divisors is an integer number (61606660597).

Almost surely, 2123213321193 is an apocalyptic number.

It is an amenable number.

123213321193 is a deficient number, since it is larger than the sum of its proper divisors (1).

123213321193 is an equidigital number, since it uses as much as digits as its factorization.

123213321193 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 123213321193 in words is "one hundred twenty-three billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred ninety-three".