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10144125727 is a prime number
BaseRepresentation
bin10010111001010001…
…10001001100011111
3222011221221222110021
421130220301030133
5131233344010402
64354331453011
7506244434401
oct113450611437
928157858407
1010144125727
11433610488a
121b712b7167
13c58810678
146c335cb71
153e587bd37
hex25ca3131f

10144125727 has 2 divisors, whose sum is σ = 10144125728. Its totient is φ = 10144125726.

The previous prime is 10144125713. The next prime is 10144125737. The reversal of 10144125727 is 72752144101.

10144125727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10144125727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144125692 and 10144125701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144125737) 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, 5072062863 + 5072062864.

It is an arithmetic number, because the mean of its divisors is an integer number (5072062864).

Almost surely, 210144125727 is an apocalyptic number.

10144125727 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144125727 is an equidigital number, since it uses as much as digits as its factorization.

10144125727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

Adding to 10144125727 its reverse (72752144101), we get a palindrome (82896269828).

The spelling of 10144125727 in words is "ten billion, one hundred forty-four million, one hundred twenty-five thousand, seven hundred twenty-seven".