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123205301993 is a prime number
BaseRepresentation
bin111001010111110011…
…0111011011011101001
3102210000101111211020002
41302233212323123221
54004311024130433
6132333313112345
711621066534114
oct1625746733351
9383011454202
10123205301993
11482841a9a34
121ba652586b5
13b806291277
145d6ad1157b
15331159e9e8
hex1caf9bb6e9

123205301993 has 2 divisors, whose sum is σ = 123205301994. Its totient is φ = 123205301992.

The previous prime is 123205301987. The next prime is 123205302013. The reversal of 123205301993 is 399103502321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122995399849 + 209902144 = 350707^2 + 14488^2 .

It is a cyclic number.

It is not a de Polignac number, because 123205301993 - 24 = 123205301977 is a prime.

It is not a weakly prime, because it can be changed into another prime (123205301903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61602650996 + 61602650997.

It is an arithmetic number, because the mean of its divisors is an integer number (61602650997).

Almost surely, 2123205301993 is an apocalyptic number.

It is an amenable number.

123205301993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123205301993 is an equidigital number, since it uses as much as digits as its factorization.

123205301993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 38.

The spelling of 123205301993 in words is "one hundred twenty-three billion, two hundred five million, three hundred one thousand, nine hundred ninety-three".