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242021303120241 = 3264179752637437
BaseRepresentation
bin110111000001110111111001…
…110011001111000101110001
31011201221000021201222120000100
4313001313321303033011301
5223210234112044321431
62214423015102343013
7101656314336410601
oct6701677163170561
91151830251876010
10242021303120241
117012a7271467a7
122318942488aa69
13a5076847538a8
1443a9c71d68c01
151cea7e210e4e6
hexdc1df9ccf171

242021303120241 has 24 divisors (see below), whose sum is σ = 350571021923304. Its totient is φ = 160893692375040.

The previous prime is 242021303120231. The next prime is 242021303120279. The reversal of 242021303120241 is 142021303120242.

242021303120241 is a `hidden beast` number, since 2 + 420 + 2 + 1 + 3 + 0 + 31 + 202 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25195089119841 + 216826214000400 = 5019471^2 + 14725020^2 .

It is not a de Polignac number, because 242021303120241 - 210 = 242021303119217 is a prime.

It is a super-2 number, since 2×2420213031202412 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242021303120221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21720826 + ... + 30916611.

It is an arithmetic number, because the mean of its divisors is an integer number (14607125913471).

Almost surely, 2242021303120241 is an apocalyptic number.

It is an amenable number.

242021303120241 is a deficient number, since it is larger than the sum of its proper divisors (108549718803063).

242021303120241 is a wasteful number, since it uses less digits than its factorization.

242021303120241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52638881 (or 52638878 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242021303120241 its reverse (142021303120242), we get a palindrome (384042606240483).

Subtracting from 242021303120241 its reverse (142021303120242), we obtain a palindrome (99999999999999).

The spelling of 242021303120241 in words is "two hundred forty-two trillion, twenty-one billion, three hundred three million, one hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 641 797 1923 2391 5769 7173 510877 1532631 4597893 52637437 157912311 473736933 33740597117 41952037289 101221791351 125856111867 303665374053 377568335601 26891255902249 80673767706747 242021303120241