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2034313181 is a prime number
BaseRepresentation
bin111100101000001…
…0010011111011101
312020202220211001122
41321100102133131
513131241010211
6533510220325
7101261243135
oct17120223735
95222824048
102034313181
1195435366a
124893546a5
132655cc614
1415426bac5
15bd8de6db
hex794127dd

2034313181 has 2 divisors, whose sum is σ = 2034313182. Its totient is φ = 2034313180.

The previous prime is 2034313163. The next prime is 2034313271. The reversal of 2034313181 is 1813134302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1548816025 + 485497156 = 39355^2 + 22034^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034313181 - 26 = 2034313117 is a prime.

It is a super-2 number, since 2×20343131812 = 8276860236780677522, which contains 22 as substring.

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 2034313181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034313111) 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, 1017156590 + 1017156591.

It is an arithmetic number, because the mean of its divisors is an integer number (1017156591).

Almost surely, 22034313181 is an apocalyptic number.

It is an amenable number.

2034313181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034313181 is an equidigital number, since it uses as much as digits as its factorization.

2034313181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2034313181 is about 45103.3610831831. The cubic root of 2034313181 is about 1267.0855484966.

Adding to 2034313181 its reverse (1813134302), we get a palindrome (3847447483).

The spelling of 2034313181 in words is "two billion, thirty-four million, three hundred thirteen thousand, one hundred eighty-one".