Search a number
-
+
121442041 = 724160449
BaseRepresentation
bin1110011110100…
…00111011111001
322110111220011101
413033100323321
5222042121131
620014531401
73003145300
oct717207371
9273456141
10121442041
1162607226
1234806b61
131c2103c6
14121b3437
15a9dcc61
hex73d0ef9

121442041 has 12 divisors (see below), whose sum is σ = 144717300. Its totient is φ = 101552640.

The previous prime is 121442011. The next prime is 121442051. The reversal of 121442041 is 140244121.

It can be written as a sum of positive squares in 2 ways, for example, as 8976016 + 112466025 = 2996^2 + 10605^2 .

It is not a de Polignac number, because 121442041 - 223 = 113053433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121442011) 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 in 11 ways as a sum of consecutive naturals, for example, 28216 + ... + 32233.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2121442041 is an apocalyptic number.

It is an amenable number.

121442041 is a deficient number, since it is larger than the sum of its proper divisors (23275259).

121442041 is an equidigital number, since it uses as much as digits as its factorization.

121442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60504 (or 60497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 121442041 is about 11020.0744552839. The cubic root of 121442041 is about 495.2103190872.

Adding to 121442041 its reverse (140244121), we get a palindrome (261686162).

It can be divided in two parts, 1214420 and 41, that added together give a triangular number (1214461 = T1558).

The spelling of 121442041 in words is "one hundred twenty-one million, four hundred forty-two thousand, forty-one".

Divisors: 1 7 41 49 287 2009 60449 423143 2478409 2962001 17348863 121442041