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242142121 = 1331359509
BaseRepresentation
bin11100110111011…
…00101110101001
3121212122002112201
432123230232221
5443442021441
640005540201
76000113464
oct1633545651
9555562481
10242142121
11114756a61
1269114661
133b220b80
14242322db
15163d0c31
hexe6ecba9

242142121 has 8 divisors (see below), whose sum is σ = 261605960. Its totient is φ = 222797952.

The previous prime is 242142113. The next prime is 242142139. The reversal of 242142121 is 121241242.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 198105625 = 6636^2 + 14075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 242142121 - 23 = 242142113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242142161) 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 7 ways as a sum of consecutive naturals, for example, 25686 + ... + 33823.

It is an arithmetic number, because the mean of its divisors is an integer number (32700745).

Almost surely, 2242142121 is an apocalyptic number.

It is an amenable number.

242142121 is a deficient number, since it is larger than the sum of its proper divisors (19463839).

242142121 is a wasteful number, since it uses less digits than its factorization.

242142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59835.

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

The square root of 242142121 is about 15560.9164575869. The cubic root of 242142121 is about 623.2899352731.

Adding to 242142121 its reverse (121241242), we get a palindrome (363383363).

It can be divided in two parts, 24214 and 2121, that added together give a triangular number (26335 = T229).

The spelling of 242142121 in words is "two hundred forty-two million, one hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 13 313 4069 59509 773617 18626317 242142121