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13342313114200 = 2352783911359027
BaseRepresentation
bin1100001000100111111111…
…0101010110101001011000
31202020111211202000110200101
43002021333311112221120
53222100024124123300
644213212442345144
72544643646146030
oct302117765265130
952214752013611
1013342313114200
114284496a12a64
1215b59b57bb1b4
1375a236b538b5
14341ab2a188c0
151820e693eb6a
hexc227fd56a58

13342313114200 has 96 divisors (see below), whose sum is σ = 35494690694400. Its totient is φ = 4569054618240.

The previous prime is 13342313114197. The next prime is 13342313114201. The reversal of 13342313114200 is 241131324331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342313114201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504914 + ... + 6854113.

It is an arithmetic number, because the mean of its divisors is an integer number (369736361400).

Almost surely, 213342313114200 is an apocalyptic number.

13342313114200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13342313114200 is an abundant number, since it is smaller than the sum of its proper divisors (22152377580200).

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

13342313114200 is a wasteful number, since it uses less digits than its factorization.

13342313114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359889 (or 11359880 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13342313114200 its reverse (241131324331), we get a palindrome (13583444438531).

The spelling of 13342313114200 in words is "thirteen trillion, three hundred forty-two billion, three hundred thirteen million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 839 1400 1678 3356 4195 5873 6712 8390 11746 16780 20975 23492 29365 33560 41950 46984 58730 83900 117460 146825 167800 234920 293650 587300 1174600 11359027 22718054 45436108 56795135 79513189 90872216 113590270 159026378 227180540 283975675 318052756 397565945 454361080 567951350 636105512 795131890 1135902700 1590263780 1987829725 2271805400 3180527560 3975659450 7951318900 9530223653 15902637800 19060447306 38120894612 47651118265 66711565571 76241789224 95302236530 133423131142 190604473060 238255591325 266846262284 333557827855 381208946120 476511182650 533692524568 667115655710 953022365300 1334231311420 1667789139275 1906044730600 2668462622840 3335578278550 6671156557100 13342313114200