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123113030101 is a prime number
BaseRepresentation
bin111001010101000011…
…0111100000111010101
3102202202221212220222121
41302222012330013111
54004113413430401
6132320215255541
711615566326625
oct1625206740725
9382687786877
10123113030101
1148237106776
121ba3a37a5b1
13b7c0125209
145d5c972885
153308424ca1
hex1caa1bc1d5

123113030101 has 2 divisors, whose sum is σ = 123113030102. Its totient is φ = 123113030100.

The previous prime is 123113030087. The next prime is 123113030107. The reversal of 123113030101 is 101030311321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84812583076 + 38300447025 = 291226^2 + 195705^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113030101 - 223 = 123104641493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123113030107) 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, 61556515050 + 61556515051.

It is an arithmetic number, because the mean of its divisors is an integer number (61556515051).

Almost surely, 2123113030101 is an apocalyptic number.

It is an amenable number.

123113030101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113030101 is an equidigital number, since it uses as much as digits as its factorization.

123113030101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 123113030101 its reverse (101030311321), we get a palindrome (224143341422).

The spelling of 123113030101 in words is "one hundred twenty-three billion, one hundred thirteen million, thirty thousand, one hundred one".