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12011012101010 = 251319124335849
BaseRepresentation
bin1010111011001000100000…
…0111000001001110010010
31120112020112002021210111102
42232302020013001032102
53033242023044213020
641313441025344402
72346524035225166
oct256621007011622
946466462253442
1012011012101010
11391092922832a
12141b993798102
13691830c931a0
142d749c31cca6
1515c679aa0475
hexaec881c1392

12011012101010 has 96 divisors (see below), whose sum is σ = 23463488084400. Its totient is φ = 4400675205120.

The previous prime is 12011012101009. The next prime is 12011012101057. The reversal of 12011012101010 is 1010121011021.

It can be written as a sum of positive squares in 8 ways, for example, as 544397535889 + 11466614565121 = 737833^2 + 3386239^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12011012100982 and 12011012101000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053512566 + ... + 2053518414.

Almost surely, 212011012101010 is an apocalyptic number.

12011012101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011012101010 is a deficient number, since it is larger than the sum of its proper divisors (11452475983390).

12011012101010 is a wasteful number, since it uses less digits than its factorization.

12011012101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12011012101010 its reverse (1010121011021), we get a palindrome (13021133112031).

The spelling of 12011012101010 in words is "twelve trillion, eleven billion, twelve million, one hundred one thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 191 382 433 866 955 1910 2165 2483 4330 4966 5629 5849 11258 11698 12415 24830 28145 29245 36481 56290 58490 72962 76037 82703 152074 165406 182405 364810 380185 413515 474253 760370 827030 948506 1075139 1117159 2150278 2234318 2371265 2532617 4742530 5065234 5375695 5585795 10751390 11171590 12663085 14523067 15796273 25326170 29046134 31592546 32924021 65848042 72615335 78981365 145230670 157962730 164620105 205351549 213377369 329240210 410703098 426754738 483729847 967459694 1026757745 1066886845 2053515490 2133773690 2418649235 2773905797 4837298470 5547811594 6288488011 12576976022 13869528985 27739057970 31442440055 62884880110 92392400777 184784801554 461962003885 923924007770 1201101210101 2402202420202 6005506050505 12011012101010