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1314304181 is a prime number
BaseRepresentation
bin100111001010110…
…1011000010110101
310101121002120101122
41032111223002311
510142430213211
6334230033325
744366254421
oct11625530265
93347076348
101314304181
11614988203
123081a8845
1317c3a59a8
14c67a5b81
157a5b86db
hex4e56b0b5

1314304181 has 2 divisors, whose sum is σ = 1314304182. Its totient is φ = 1314304180.

The previous prime is 1314304177. The next prime is 1314304183. The reversal of 1314304181 is 1814034131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793323556 + 520980625 = 28166^2 + 22825^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314304181 - 22 = 1314304177 is a prime.

It is a super-2 number, since 2×13143041812 = 3454790960388161522, which contains 22 as substring.

Together with 1314304183, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1314304181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1314304183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657152090 + 657152091.

It is an arithmetic number, because the mean of its divisors is an integer number (657152091).

Almost surely, 21314304181 is an apocalyptic number.

It is an amenable number.

1314304181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314304181 is an equidigital number, since it uses as much as digits as its factorization.

1314304181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1314304181 is about 36253.3333777737. Note that the first 4 decimals coincide. The cubic root of 1314304181 is about 1095.3812343373.

The spelling of 1314304181 in words is "one billion, three hundred fourteen million, three hundred four thousand, one hundred eighty-one".