Search a number
-
+
123233003093 is a prime number
BaseRepresentation
bin111001011000101000…
…0100110011001010101
3102210002022122011222202
41302301100212121111
54004340122044333
6132340142534245
711621554146254
oct1626120463125
9383068564882
10123233003093
11482988aa202
121ba72597385
13b80bc3ca55
145d7088279b
153313c225e8
hex1cb1426655

123233003093 has 2 divisors, whose sum is σ = 123233003094. Its totient is φ = 123233003092.

The previous prime is 123233002969. The next prime is 123233003119. The reversal of 123233003093 is 390300332321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121562400964 + 1670602129 = 348658^2 + 40873^2 .

It is a cyclic number.

It is not a de Polignac number, because 123233003093 - 210 = 123233002069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123233003293) 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, 61616501546 + 61616501547.

It is an arithmetic number, because the mean of its divisors is an integer number (61616501547).

Almost surely, 2123233003093 is an apocalyptic number.

It is an amenable number.

123233003093 is a deficient number, since it is larger than the sum of its proper divisors (1).

123233003093 is an equidigital number, since it uses as much as digits as its factorization.

123233003093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

The spelling of 123233003093 in words is "one hundred twenty-three billion, two hundred thirty-three million, three thousand, ninety-three".