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234240233121 = 32113230324713
BaseRepresentation
bin1101101000100111001…
…1100100111010100001
3211101121121022202012200
43122021303210322201
512314210444424441
6255335233043413
722631456062356
oct3321163447241
9741547282180
10234240233121
1190382561124
12394926b6569
131912000894b
14b4a173662d
15615e4787b6
hex3689ce4ea1

234240233121 has 12 divisors (see below), whose sum is σ = 341341226148. Its totient is φ = 154778206464.

The previous prime is 234240233119. The next prime is 234240233147. The reversal of 234240233121 is 121332042432.

234240233121 is a `hidden beast` number, since 2 + 3 + 424 + 0 + 233 + 1 + 2 + 1 = 666.

234240233121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22974980625 + 211265252496 = 151575^2 + 459636^2 .

It is not a de Polignac number, because 234240233121 - 21 = 234240233119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234240233111) 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, 115161340 + ... + 115163373.

It is an arithmetic number, because the mean of its divisors is an integer number (28445102179).

Almost surely, 2234240233121 is an apocalyptic number.

It is an amenable number.

234240233121 is a deficient number, since it is larger than the sum of its proper divisors (107100993027).

234240233121 is a wasteful number, since it uses less digits than its factorization.

234240233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230324832 (or 230324829 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234240233121 its reverse (121332042432), we get a palindrome (355572275553).

The spelling of 234240233121 in words is "two hundred thirty-four billion, two hundred forty million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 113 339 1017 230324713 690974139 2072922417 26026692569 78080077707 234240233121