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123303106033 is a prime number
BaseRepresentation
bin111001011010101110…
…0000001010111110001
3102210021012112210010221
41302311130001113301
54010011043343113
6132351125253041
711623365052102
oct1626534012761
9383235483127
10123303106033
1148324430618
121ba91b64181
13b820616393
145d79cd03a9
153319e6d98d
hex1cb57015f1

123303106033 has 2 divisors, whose sum is σ = 123303106034. Its totient is φ = 123303106032.

The previous prime is 123303106013. The next prime is 123303106037. The reversal of 123303106033 is 330601303321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93454324209 + 29848781824 = 305703^2 + 172768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123303106033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123303105989 and 123303106007.

It is not a weakly prime, because it can be changed into another prime (123303106037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61651553016 + 61651553017.

It is an arithmetic number, because the mean of its divisors is an integer number (61651553017).

Almost surely, 2123303106033 is an apocalyptic number.

It is an amenable number.

123303106033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123303106033 is an equidigital number, since it uses as much as digits as its factorization.

123303106033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123303106033 its reverse (330601303321), we get a palindrome (453904409354).

The spelling of 123303106033 in words is "one hundred twenty-three billion, three hundred three million, one hundred six thousand, thirty-three".