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242152223031243 = 3376175720746291
BaseRepresentation
bin110111000011110001110101…
…001111000011111111001011
31011202101112012202220010022000
4313003301311033003333023
5223214410223043444433
62215003110122402043
7102001630553322330
oct6703616517037713
91152345182803260
10242152223031243
11701801aa007658
12231aa881660323
13a516b1a0a3855
1443b2331694987
151cede05ad4113
hexdc3c753c3fcb

242152223031243 has 32 divisors (see below), whose sum is σ = 409999840427520. Its totient is φ = 138370451605920.

The previous prime is 242152223031239. The next prime is 242152223031247. The reversal of 242152223031243 is 342130322251242.

242152223031243 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 222 + 303 + 124 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (242152223031239) and next prime (242152223031247).

It is not a de Polignac number, because 242152223031243 - 22 = 242152223031239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242152223031198 and 242152223031207.

It is not an unprimeable number, because it can be changed into a prime (242152223031247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298928 + ... + 22045218.

It is an arithmetic number, because the mean of its divisors is an integer number (12812495013360).

Almost surely, 2242152223031243 is an apocalyptic number.

242152223031243 is a deficient number, since it is larger than the sum of its proper divisors (167847617396277).

242152223031243 is a wasteful number, since it uses less digits than its factorization.

242152223031243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20808064 (or 20808058 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 242152223031243 its reverse (342130322251242), we get a palindrome (584282545282485).

The spelling of 242152223031243 in words is "two hundred forty-two trillion, one hundred fifty-two billion, two hundred twenty-three million, thirty-one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 61757 185271 432299 555813 1296897 1667439 3890691 11672073 20746291 62238873 145224037 186716619 435672111 560149857 1307016333 3921048999 1281228693287 3843686079861 8968600853009 11531058239583 26905802559027 34593174718749 80717407677081 242152223031243