Search a number
-
+
35371541081 is a prime number
BaseRepresentation
bin100000111100010011…
…101110001001011001
310101022002210110111002
4200330103232021121
51034420103303311
624125514514345
72361353065322
oct407423561131
9111262713432
1035371541081
1114001349388
126a31a359b5
1334491ac886
1419d79c3449
15dc04c193b
hex83c4ee259

35371541081 has 2 divisors, whose sum is σ = 35371541082. Its totient is φ = 35371541080.

The previous prime is 35371541053. The next prime is 35371541129. The reversal of 35371541081 is 18014517353.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29067181081 + 6304360000 = 170491^2 + 79400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35371541081 is a prime.

It is a super-3 number, since 3×353715410813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (35371541981) 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, 17685770540 + 17685770541.

It is an arithmetic number, because the mean of its divisors is an integer number (17685770541).

Almost surely, 235371541081 is an apocalyptic number.

It is an amenable number.

35371541081 is a deficient number, since it is larger than the sum of its proper divisors (1).

35371541081 is an equidigital number, since it uses as much as digits as its factorization.

35371541081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 35371541081 in words is "thirty-five billion, three hundred seventy-one million, five hundred forty-one thousand, eighty-one".