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12110302132314 = 23232311201102481
BaseRepresentation
bin1011000000111010011001…
…0000011011100001011010
31120212201210202222222210020
42300032212100123201122
53041403344321213224
641431221311331310
72356640401453131
oct260164620334132
946781722888706
1012110302132314
113949a4a925441
121437083820b36
1369acc5682cb9
142dc1dad6c918
1516003b7e8c79
hexb03a641b85a

12110302132314 has 96 divisors (see below), whose sum is σ = 26158233712128. Its totient is φ = 3733551360000.

The previous prime is 12110302132267. The next prime is 12110302132321. The reversal of 12110302132314 is 41323120301121.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118119954 + ... + 118222434.

It is an arithmetic number, because the mean of its divisors is an integer number (272481601168).

Almost surely, 212110302132314 is an apocalyptic number.

12110302132314 is an abundant number, since it is smaller than the sum of its proper divisors (14047931579814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110302132314 is a wasteful number, since it uses less digits than its factorization.

12110302132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103764 (or 103741 counting only the distinct ones).

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

Adding to 12110302132314 its reverse (41323120301121), we get a palindrome (53433422433435).

The spelling of 12110302132314 in words is "twelve trillion, one hundred ten billion, three hundred two million, one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 529 713 1058 1201 1426 1587 2139 2402 3174 3603 4278 7206 16399 27623 32798 37231 49197 55246 74462 82869 98394 102481 111693 165738 204962 223386 307443 614886 635329 856313 1270658 1712626 1905987 2357063 2568939 3176911 3811974 4714126 5137878 6353822 7071189 9530733 14142378 19061466 19695199 39390398 54212449 59085597 73068953 108424898 118171194 123079681 146137906 162637347 219206859 246159362 325274694 369239043 438413718 738478086 1680585919 2830832663 3361171838 3815470111 5041757757 5661665326 7630940222 8492497989 10083515514 11446410333 16984995978 22892820666 65109151249 87755812553 130218302498 175511625106 195327453747 263267437659 390654907494 526534875318 2018383688719 4036767377438 6055151066157 12110302132314