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242311242231 = 3383110997499
BaseRepresentation
bin1110000110101011100…
…0000010000111110111
3212011110002100111022000
43201222320002013313
512432223134222411
6303152150510343
723335461401232
oct3415270020767
9764402314260
10242311242231
1193844419793
123ab656653b3
1319b08181996
14ba29606419
156482ced956
hex386ae021f7

242311242231 has 32 divisors (see below), whose sum is σ = 363636000000. Its totient is φ = 159449009184.

The previous prime is 242311242191. The next prime is 242311242317. The reversal of 242311242231 is 132242113242.

242311242231 is a `hidden beast` number, since 2 + 4 + 231 + 1 + 2 + 422 + 3 + 1 = 666.

242311242231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242311242231 - 29 = 242311241719 is a prime.

It is a super-2 number, since 2×2423112422312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242311242195 and 242311242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242311242431) 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 31 ways as a sum of consecutive naturals, for example, 2436520 + ... + 2534018.

It is an arithmetic number, because the mean of its divisors is an integer number (11363625000).

Almost surely, 2242311242231 is an apocalyptic number.

242311242231 is a deficient number, since it is larger than the sum of its proper divisors (121324757769).

242311242231 is a wasteful number, since it uses less digits than its factorization.

242311242231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98700 (or 98694 counting only the distinct ones).

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

Adding to 242311242231 its reverse (132242113242), we get a palindrome (374553355473).

The spelling of 242311242231 in words is "two hundred forty-two billion, three hundred eleven million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 83 249 747 1109 2241 3327 9981 29943 92047 97499 276141 292497 828423 877491 2485269 2632473 8092417 24277251 72831753 108126391 218495259 324379173 973137519 2919412557 8974490453 26923471359 80770414077 242311242231