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230332011031331 = 1147618387994561
BaseRepresentation
bin110100010111110001011001…
…101100101010101100100011
31010012112112011212122201112122
4310113301121230222230203
5220142224424311000311
62133513022021214455
766341636645143346
oct6427613154525443
91105475155581478
10230332011031331
11674332915362a0
12219bba7856142b
139b6a2a542c291
1440c41b368845d
151b966e69920db
hexd17c59b2ab23

230332011031331 has 32 divisors (see below), whose sum is σ = 263966791044096. Its totient is φ = 199149288192000.

The previous prime is 230332011031279. The next prime is 230332011031333. The reversal of 230332011031331 is 133130110233032.

It is a cyclic number.

It is not a de Polignac number, because 230332011031331 - 226 = 230331943922467 is a prime.

It is a super-3 number, since 3×2303320110313313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230332011031331.

It is not an unprimeable number, because it can be changed into a prime (230332011031333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41379710 + ... + 46614851.

It is an arithmetic number, because the mean of its divisors is an integer number (8248962220128).

Almost surely, 2230332011031331 is an apocalyptic number.

230332011031331 is a deficient number, since it is larger than the sum of its proper divisors (33634780012765).

230332011031331 is a wasteful number, since it uses less digits than its factorization.

230332011031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87994763.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 230332011031331 its reverse (133130110233032), we get a palindrome (363462121264363).

The spelling of 230332011031331 in words is "two hundred thirty trillion, three hundred thirty-two billion, eleven million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 47 61 83 517 671 913 2867 3901 5063 31537 42911 55693 237961 2617571 87994561 967940171 4135744367 5367668221 7303548563 45493188037 59044350431 80339034193 252280406387 343266782461 445516462343 2775084470257 3775934607071 4900681085773 20939273730121 230332011031331