Search a number
-
+
123120320101 is a prime number
BaseRepresentation
bin111001010101010001…
…0101111111001100101
3102202210110121021222121
41302222202233321211
54004122300220401
6132321035425541
711616015311362
oct1625242577145
9382713537877
10123120320101
1148240235869
121ba408b52b1
13b7c17a841c
145d5d90d469
153308db4ca1
hex1caa8afe65

123120320101 has 2 divisors, whose sum is σ = 123120320102. Its totient is φ = 123120320100.

The previous prime is 123120320069. The next prime is 123120320119. The reversal of 123120320101 is 101023021321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123112563876 + 7756225 = 350874^2 + 2785^2 .

It is a cyclic number.

It is not a de Polignac number, because 123120320101 - 25 = 123120320069 is a prime.

It is a super-2 number, since 2×1231203201012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123120320201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560160050 + 61560160051.

It is an arithmetic number, because the mean of its divisors is an integer number (61560160051).

Almost surely, 2123120320101 is an apocalyptic number.

It is an amenable number.

123120320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123120320101 is an equidigital number, since it uses as much as digits as its factorization.

123120320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123120320101 its reverse (101023021321), we get a palindrome (224143341422).

The spelling of 123120320101 in words is "one hundred twenty-three billion, one hundred twenty million, three hundred twenty thousand, one hundred one".