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242013054321 = 3272337371737
BaseRepresentation
bin1110000101100100011…
…0100010010101110001
3212010200022020222101100
43201121012202111301
512431120320214241
6303102415355013
723325211006563
oct3413106422561
9763608228340
10242013054321
11937010727a5
123aaa1822a69
1319a8b46992c
14b9dbb85333
156466a4b9b6
hex38591a2571

242013054321 has 12 divisors (see below), whose sum is σ = 349580184772. Its totient is φ = 161339371776.

The previous prime is 242013054271. The next prime is 242013054329. The reversal of 242013054321 is 123450310242.

242013054321 is a `hidden beast` number, since 24 + 201 + 3 + 0 + 5 + 432 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35933372721 + 206079681600 = 189561^2 + 453960^2 .

It is not a de Polignac number, because 242013054321 - 217 = 242012923249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242013054329) 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, 465165 + ... + 836901.

Almost surely, 2242013054321 is an apocalyptic number.

It is an amenable number.

242013054321 is a deficient number, since it is larger than the sum of its proper divisors (107567130451).

242013054321 is a wasteful number, since it uses less digits than its factorization.

242013054321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444080 (or 444077 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 242013054321 its reverse (123450310242), we get a palindrome (365463364563).

The spelling of 242013054321 in words is "two hundred forty-two billion, thirteen million, fifty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 72337 217011 371737 651033 1115211 3345633 26890339369 80671018107 242013054321