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10144167713 is a prime number
BaseRepresentation
bin10010111001010001…
…11011011100100001
3222011222001010001022
421130220323130201
5131233401331323
64354332415225
7506245000661
oct113450733441
928158033038
1010144167713
114336133389
121b71317515
13c58826804
146c33701a1
153e58894c8
hex25ca3b721

10144167713 has 2 divisors, whose sum is σ = 10144167714. Its totient is φ = 10144167712.

The previous prime is 10144167701. The next prime is 10144167751. The reversal of 10144167713 is 31776144101.

10144167713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7979312929 + 2164854784 = 89327^2 + 46528^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144167713 - 220 = 10143119137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10144167793) 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, 5072083856 + 5072083857.

It is an arithmetic number, because the mean of its divisors is an integer number (5072083857).

Almost surely, 210144167713 is an apocalyptic number.

It is an amenable number.

10144167713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144167713 is an equidigital number, since it uses as much as digits as its factorization.

10144167713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 10144167713 in words is "ten billion, one hundred forty-four million, one hundred sixty-seven thousand, seven hundred thirteen".