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10041424121 is a prime number
BaseRepresentation
bin10010101101000001…
…11111100011111001
3221220210201012100002
421112200333203321
5131031101032441
64340222322345
7503556460661
oct112640774371
927823635302
1010041424121
114293138623
121b42a293b5
13c404622a1
146b38671a1
153db841b9b
hex25683f8f9

10041424121 has 2 divisors, whose sum is σ = 10041424122. Its totient is φ = 10041424120.

The previous prime is 10041424097. The next prime is 10041424123. The reversal of 10041424121 is 12142414001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9108793600 + 932630521 = 95440^2 + 30539^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041424121 - 214 = 10041407737 is a prime.

Together with 10041424123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10041424093 and 10041424102.

It is not a weakly prime, because it can be changed into another prime (10041424123) 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, 5020712060 + 5020712061.

It is an arithmetic number, because the mean of its divisors is an integer number (5020712061).

Almost surely, 210041424121 is an apocalyptic number.

It is an amenable number.

10041424121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041424121 is an equidigital number, since it uses as much as digits as its factorization.

10041424121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10041424121 its reverse (12142414001), we get a palindrome (22183838122).

The spelling of 10041424121 in words is "ten billion, forty-one million, four hundred twenty-four thousand, one hundred twenty-one".