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12230123232231 = 3241435527139459
BaseRepresentation
bin1011000111111000110000…
…1001101001101111100111
31121022012002022112112111200
42301332030021221233213
53100334243021412411
642002235133333543
72401411566141012
oct261761411515747
947265068475450
1012230123232231
1139958477a9253
1214563436372b3
136a93ac790018
14303d26626379
15163200c11e56
hexb1f8c269be7

12230123232231 has 48 divisors (see below), whose sum is σ = 18520939557120. Its totient is φ = 7768100672640.

The previous prime is 12230123232181. The next prime is 12230123232253. The reversal of 12230123232231 is 13223232103221.

12230123232231 is a `hidden beast` number, since 1 + 2 + 2 + 301 + 2 + 3 + 2 + 322 + 31 = 666.

It is not a de Polignac number, because 12230123232231 - 223 = 12230114843623 is a prime.

It is a super-2 number, since 2×122301232322312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12230123232195 and 12230123232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230123232281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87627180 + ... + 87766638.

It is an arithmetic number, because the mean of its divisors is an integer number (385852907440).

Almost surely, 212230123232231 is an apocalyptic number.

12230123232231 is a deficient number, since it is larger than the sum of its proper divisors (6290816324889).

12230123232231 is a wasteful number, since it uses less digits than its factorization.

12230123232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145076 (or 145073 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12230123232231 its reverse (13223232103221), we get a palindrome (25453355335452).

The spelling of 12230123232231 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-three million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 41 43 123 129 369 387 1763 5289 5527 15867 16581 49743 139459 226607 237661 418377 679821 712983 1255131 2039463 2138949 5717819 5996737 9744101 17153457 17990211 29232303 51460371 53970633 87696909 245866217 737598651 770789893 2212795953 2312369679 6937109037 31602385613 33143965399 94807156839 99431896197 284421470517 298295688591 1358902581359 4076707744077 12230123232231