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242152301241 = 3290017298897
BaseRepresentation
bin1110000110000101100…
…1101110001010111001
3212011001000021110020200
43201201121232022321
512431411442114431
6303124312112413
723331521412354
oct3414131561271
9764030243220
10242152301241
119377272aaa4
123ab20395709
1319ab1272266
14ba1247129b
156473da4ee6
hex386166e2b9

242152301241 has 12 divisors (see below), whose sum is σ = 349780602132. Its totient is φ = 161432534016.

The previous prime is 242152301239. The next prime is 242152301243. The reversal of 242152301241 is 142103251242.

242152301241 is a `hidden beast` number, since 2 + 421 + 5 + 230 + 1 + 2 + 4 + 1 = 666.

242152301241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242152301239) and next prime (242152301243).

It can be written as a sum of positive squares in 2 ways, for example, as 120672169641 + 121480131600 = 347379^2 + 348540^2 .

It is not a de Polignac number, because 242152301241 - 21 = 242152301239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242152301243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660705 + ... + 959601.

It is an arithmetic number, because the mean of its divisors is an integer number (29148383511).

Almost surely, 2242152301241 is an apocalyptic number.

It is an amenable number.

242152301241 is a deficient number, since it is larger than the sum of its proper divisors (107628300891).

242152301241 is a wasteful number, since it uses less digits than its factorization.

242152301241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388920 (or 388917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242152301241 its reverse (142103251242), we get a palindrome (384255552483).

The spelling of 242152301241 in words is "two hundred forty-two billion, one hundred fifty-two million, three hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 90017 270051 298897 810153 896691 2690073 26905811249 80717433747 242152301241