Search a number
-
+
81146141 is a prime number
BaseRepresentation
bin1001101011000…
…11000100011101
312122200122120122
410311203010131
5131233134031
612015124325
72003505446
oct465430435
9178618518
1081146141
114189432a
12232136a5
1313a71c8b
14aac42cd
1571cd47b
hex4d6311d

81146141 has 2 divisors, whose sum is σ = 81146142. Its totient is φ = 81146140.

The previous prime is 81146129. The next prime is 81146167. The reversal of 81146141 is 14164118.

It is an a-pointer prime, because the next prime (81146167) can be obtained adding 81146141 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80820100 + 326041 = 8990^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 81146141 - 214 = 81129757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81146141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81146171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40573070 + 40573071.

It is an arithmetic number, because the mean of its divisors is an integer number (40573071).

Almost surely, 281146141 is an apocalyptic number.

It is an amenable number.

81146141 is a deficient number, since it is larger than the sum of its proper divisors (1).

81146141 is an equidigital number, since it uses as much as digits as its factorization.

81146141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 26.

The square root of 81146141 is about 9008.1152856744. The cubic root of 81146141 is about 432.9349268484.

The spelling of 81146141 in words is "eighty-one million, one hundred forty-six thousand, one hundred forty-one".