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24131118101 is a prime number
BaseRepresentation
bin10110011110010100…
…111010010000010101
32022021201221210220212
4112132110322100111
5343410031234401
615030301335205
71512664055666
oct263624722025
968251853825
1024131118101
11a263429212
124815567505
132377516a0c
14124cc0b36d
15963790dbb
hex59e53a415

24131118101 has 2 divisors, whose sum is σ = 24131118102. Its totient is φ = 24131118100.

The previous prime is 24131118091. The next prime is 24131118107. The reversal of 24131118101 is 10181113142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13439764900 + 10691353201 = 115930^2 + 103399^2 .

It is a cyclic number.

It is not a de Polignac number, because 24131118101 - 210 = 24131117077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24131118107) 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, 12065559050 + 12065559051.

It is an arithmetic number, because the mean of its divisors is an integer number (12065559051).

Almost surely, 224131118101 is an apocalyptic number.

It is an amenable number.

24131118101 is a deficient number, since it is larger than the sum of its proper divisors (1).

24131118101 is an equidigital number, since it uses as much as digits as its factorization.

24131118101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

The spelling of 24131118101 in words is "twenty-four billion, one hundred thirty-one million, one hundred eighteen thousand, one hundred one".