Search a number
-
+
180182021 is a prime number
BaseRepresentation
bin10101011110101…
…01110000000101
3110120001012021012
422233111300011
5332111311041
625513532005
74315344005
oct1257256005
9416035235
10180182021
1192787468
1250414005
132b4389a6
1419d04005
1510c423eb
hexabd5c05

180182021 has 2 divisors, whose sum is σ = 180182022. Its totient is φ = 180182020.

The previous prime is 180181999. The next prime is 180182027. The reversal of 180182021 is 120281081.

It is a happy number.

180182021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138321121 + 41860900 = 11761^2 + 6470^2 .

It is a cyclic number.

It is not a de Polignac number, because 180182021 - 226 = 113073157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180182027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90091010 + 90091011.

It is an arithmetic number, because the mean of its divisors is an integer number (90091011).

Almost surely, 2180182021 is an apocalyptic number.

It is an amenable number.

180182021 is a deficient number, since it is larger than the sum of its proper divisors (1).

180182021 is an equidigital number, since it uses as much as digits as its factorization.

180182021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 180182021 is about 13423.1896730993. The cubic root of 180182021 is about 564.8118735667.

The spelling of 180182021 in words is "one hundred eighty million, one hundred eighty-two thousand, twenty-one".