Search a number
-
+
205032141 = 342531261
BaseRepresentation
bin11000011100010…
…00101011001101
3112021210201020000
430032020223031
5404442012031
632202314513
75036513226
oct1416105315
9467721200
10205032141
11a580a756
12587b8a39
13336298c2
141d33224d
15130003e6
hexc388acd

205032141 has 10 divisors (see below), whose sum is σ = 306282702. Its totient is φ = 136688040.

The previous prime is 205032137. The next prime is 205032169. The reversal of 205032141 is 141230502.

205032141 is a `hidden beast` number, since 20 + 503 + 2 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154480041 + 50552100 = 12429^2 + 7110^2 .

It is not a de Polignac number, because 205032141 - 22 = 205032137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205032181) 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 in 9 ways as a sum of consecutive naturals, for example, 1265550 + ... + 1265711.

Almost surely, 2205032141 is an apocalyptic number.

It is an amenable number.

205032141 is a deficient number, since it is larger than the sum of its proper divisors (101250561).

205032141 is an equidigital number, since it uses as much as digits as its factorization.

205032141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531273 (or 2531264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205032141 is about 14318.9434316922. The cubic root of 205032141 is about 589.6676678633.

Adding to 205032141 its reverse (141230502), we get a palindrome (346262643).

It can be divided in two parts, 2050 and 32141, that added together give a triangular number (34191 = T261).

The spelling of 205032141 in words is "two hundred five million, thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 2531261 7593783 22781349 68344047 205032141