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123301240001 is a prime number
BaseRepresentation
bin111001011010101010…
…0111001110011000001
3102210021002000222102122
41302311110321303001
54010010104140001
6132351021254025
711623343150552
oct1626524716301
9383232028378
10123301240001
1148323376645
121ba91404315
13b820111c14
145d79966329
153319c00b1b
hex1cb5539cc1

123301240001 has 2 divisors, whose sum is σ = 123301240002. Its totient is φ = 123301240000.

The previous prime is 123301239977. The next prime is 123301240003. The reversal of 123301240001 is 100042103321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106834191025 + 16467048976 = 326855^2 + 128324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123301240001 is a prime.

Together with 123301240003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123301240003) 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, 61650620000 + 61650620001.

It is an arithmetic number, because the mean of its divisors is an integer number (61650620001).

Almost surely, 2123301240001 is an apocalyptic number.

It is an amenable number.

123301240001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123301240001 is an equidigital number, since it uses as much as digits as its factorization.

123301240001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123301240001 its reverse (100042103321), we get a palindrome (223343343322).

The spelling of 123301240001 in words is "one hundred twenty-three billion, three hundred one million, two hundred forty thousand, one".