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12031322122113 = 372349164217901
BaseRepresentation
bin1010111100010100001010…
…1011100110011110000001
31120121011221112011202202020
42233011002223212132001
53034110121430401423
641331040231512053
72351143243446540
oct257050253463601
946534845152666
1012031322122113
113919500755838
121423901528629
13693719966c58
142d8467866157
1515ce67b594e3
hexaf142ae6781

12031322122113 has 64 divisors (see below), whose sum is σ = 19174923915264. Its totient is φ = 6560880480000.

The previous prime is 12031322122103. The next prime is 12031322122123. The reversal of 12031322122113 is 31122122313021.

It is an interprime number because it is at equal distance from previous prime (12031322122103) and next prime (12031322122123).

It is not a de Polignac number, because 12031322122113 - 214 = 12031322105729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12031322122103) 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, 1522755463 + ... + 1522763363.

It is an arithmetic number, because the mean of its divisors is an integer number (299608186176).

Almost surely, 212031322122113 is an apocalyptic number.

It is an amenable number.

12031322122113 is a deficient number, since it is larger than the sum of its proper divisors (7143601793151).

12031322122113 is a wasteful number, since it uses less digits than its factorization.

12031322122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14846.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12031322122113 its reverse (31122122313021), we get a palindrome (43153444435134).

The spelling of 12031322122113 in words is "twelve trillion, thirty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 7 21 23 69 161 483 491 1473 3437 6421 7901 10311 11293 19263 23703 33879 44947 55307 79051 134841 147683 165921 181723 237153 443049 545169 1033781 1272061 3101343 3152711 3816183 3879391 9458133 11638173 22068977 27155737 50732321 66206931 72512353 81467211 89225993 152196963 217537059 267677979 355126247 507586471 624581951 1065378741 1166843383 1522759413 1873745853 3500530149 8167903681 24503711043 24909569611 74728708833 174366987277 523100961831 572920101053 1718760303159 4010440707371 12031322122113