Search a number
-
+
10541086541 is a prime number
BaseRepresentation
bin10011101000100110…
…00011011101001101
31000012121220200022122
421310103003131031
5133042004232131
64501552022325
7522134520506
oct116423033515
930177820278
1010541086541
11451a194377
1220622319a5
13cbcb2981b
1471dd71bad
1541a63ed7b
hex2744c374d

10541086541 has 2 divisors, whose sum is σ = 10541086542. Its totient is φ = 10541086540.

The previous prime is 10541086531. The next prime is 10541086579. The reversal of 10541086541 is 14568014501.

10541086541 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., 9068752900 + 1472333641 = 95230^2 + 38371^2 .

It is a cyclic number.

It is not a de Polignac number, because 10541086541 - 210 = 10541085517 is a prime.

It is a super-2 number, since 2×105410865412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10541086531) 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, 5270543270 + 5270543271.

It is an arithmetic number, because the mean of its divisors is an integer number (5270543271).

Almost surely, 210541086541 is an apocalyptic number.

It is an amenable number.

10541086541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10541086541 is an equidigital number, since it uses as much as digits as its factorization.

10541086541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 10541086541 in words is "ten billion, five hundred forty-one million, eighty-six thousand, five hundred forty-one".