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1053505061014 = 2721743109134917
BaseRepresentation
bin11110101010010011100…
…10111000000010010110
310201201021120122010220111
433111021302320002112
5114230034243423024
62123550141353234
7136053560160400
oct17251162700226
93651246563814
101053505061014
1137687516218a
1215021486881a
1378464257663
1438dc0491b70
151c60dbb7a94
hexf549cb8096

1053505061014 has 96 divisors (see below), whose sum is σ = 2009943603360. Its totient is φ = 411249871872.

The previous prime is 1053505060999. The next prime is 1053505061023. The reversal of 1053505061014 is 4101605053501.

It is a happy number.

It is a super-2 number, since 2×10535050610142 (a number of 25 digits) contains 22 as substring.

It is a congruent 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, 7741084 + ... + 7876000.

It is an arithmetic number, because the mean of its divisors is an integer number (20936912535).

Almost surely, 21053505061014 is an apocalyptic number.

1053505061014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1053505061014 is a deficient number, since it is larger than the sum of its proper divisors (956438542346).

1053505061014 is a wasteful number, since it uses less digits than its factorization.

1053505061014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135102 (or 135095 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 1053505061014 in words is "one trillion, fifty-three billion, five hundred five million, sixty-one thousand, fourteen".

Divisors: 1 2 7 14 17 34 43 49 86 98 109 119 218 238 301 602 731 763 833 1462 1526 1666 1853 2107 3706 4214 4687 5117 5341 9374 10234 10682 12971 25942 32809 35819 65618 71638 79679 90797 134917 159358 181594 229663 269834 459326 557753 944419 1115506 1888838 2293589 3904271 4587178 5801431 6610933 7808542 11602862 13221866 14705953 16055123 29411906 32110246 40610017 81220034 98624327 102941671 112385861 197248654 205883342 224771722 250001201 284270119 500002402 568540238 632355979 690370289 720591697 1264711958 1380740578 1441183394 1750008407 3500016814 4426491853 4832592023 8852983706 9665184046 10750051643 12250058849 21500103286 24500117698 30985442971 61970885942 75250361501 150500723002 526752530507 1053505061014