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180842113 is a prime number
BaseRepresentation
bin10101100011101…
…10111010000001
3110121021201202001
422301312322001
5332243421423
625540024001
74324063324
oct1261667201
9417251661
10180842113
11930983a1
1250692001
132b60a28a
141a0367bb
1510d22cad
hexac76e81

180842113 has 2 divisors, whose sum is σ = 180842114. Its totient is φ = 180842112.

The previous prime is 180842111. The next prime is 180842117. The reversal of 180842113 is 311248081.

180842113 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., 134165889 + 46676224 = 11583^2 + 6832^2 .

It is an emirp because it is prime and its reverse (311248081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180842113 - 21 = 180842111 is a prime.

Together with 180842111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (180842111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90421056 + 90421057.

It is an arithmetic number, because the mean of its divisors is an integer number (90421057).

Almost surely, 2180842113 is an apocalyptic number.

It is an amenable number.

180842113 is a deficient number, since it is larger than the sum of its proper divisors (1).

180842113 is an equidigital number, since it uses as much as digits as its factorization.

180842113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 180842113 is about 13447.7549427404. The cubic root of 180842113 is about 565.5007573965.

The spelling of 180842113 in words is "one hundred eighty million, eight hundred forty-two thousand, one hundred thirteen".