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230101323131121 = 31323540760917789
BaseRepresentation
bin110100010100011010100011…
…101000001010100011110001
31010011201110201211200011222120
4310110122203220022203301
5220124440002210143441
62133215031043024453
766316162202302461
oct6424324350124361
91104643654604876
10230101323131121
11673544721a64a2
122198321766b129
139b51600384190
1440b6d6ba53ba1
151b906e4311966
hexd146a3a0a8f1

230101323131121 has 64 divisors (see below), whose sum is σ = 344931854991360. Its totient is φ = 135379591522560.

The previous prime is 230101323131101. The next prime is 230101323131159. The reversal of 230101323131121 is 121131323101032.

It is not a de Polignac number, because 230101323131121 - 214 = 230101323114737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230101323131091 and 230101323131100.

It is not an unprimeable number, because it can be changed into a prime (230101323131101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29541827295 + ... + 29541835083.

It is an arithmetic number, because the mean of its divisors is an integer number (5389560234240).

Almost surely, 2230101323131121 is an apocalyptic number.

It is an amenable number.

230101323131121 is a deficient number, since it is larger than the sum of its proper divisors (114830531860239).

230101323131121 is a wasteful number, since it uses less digits than its factorization.

230101323131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19326.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 230101323131121 its reverse (121131323101032), we get a palindrome (351232646232153).

The spelling of 230101323131121 in words is "two hundred thirty trillion, one hundred one billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 13 23 39 69 299 897 5407 6091 7789 16221 18273 23367 70291 79183 101257 124361 140093 179147 210873 237549 303771 373083 420279 537441 1616693 1821209 2328911 4850079 5463627 6986733 32934037 42115123 47442799 98802111 126345369 142328397 428142481 547496599 616756387 757482851 968647829 1091184377 1284427443 1642489797 1850269161 2272448553 2905943487 3273553131 9847277063 12592421777 14185396901 29541831189 37777265331 42556190703 256523214193 769569642579 3334801784509 5900033926439 10004405353527 17700101779317 76700441043707 230101323131121