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10144115341 is a prime number
BaseRepresentation
bin10010111001010001…
…01110101010001101
3222011221221110012121
421130220232222031
5131233343142331
64354331332541
7506244362203
oct113450565215
928157843177
1010144115341
1143360a7aa8
121b712b1151
13c58808a19
146c3359073
153e5878c11
hex25ca2ea8d

10144115341 has 2 divisors, whose sum is σ = 10144115342. Its totient is φ = 10144115340.

The previous prime is 10144115279. The next prime is 10144115351. The reversal of 10144115341 is 14351144101.

10144115341 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 can be written as a sum of positive squares in only one way, i.e., 9693190116 + 450925225 = 98454^2 + 21235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144115341 - 219 = 10143591053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144115351) 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, 5072057670 + 5072057671.

It is an arithmetic number, because the mean of its divisors is an integer number (5072057671).

Almost surely, 210144115341 is an apocalyptic number.

It is an amenable number.

10144115341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144115341 is an equidigital number, since it uses as much as digits as its factorization.

10144115341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10144115341 its reverse (14351144101), we get a palindrome (24495259442).

The spelling of 10144115341 in words is "ten billion, one hundred forty-four million, one hundred fifteen thousand, three hundred forty-one".