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10343320142100 = 223521117318117569
BaseRepresentation
bin1001011010000011110111…
…1011000100000100010100
31100121210220202122111210220
42112200331323010010110
52323431104424021400
633555353343114340
72115165054403221
oct226407573040424
940553822574726
1010343320142100
113328639630250
1211b0730ba29b0
135a04a8b519ba
1427a89577c948
1512e0c08197a0
hex9683dec4114

10343320142100 has 144 divisors (see below), whose sum is σ = 32835993986880. Its totient is φ = 2492977356800.

The previous prime is 10343320142033. The next prime is 10343320142159. The reversal of 10343320142100 is 124102334301.

It is a happy number.

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, 8487885 + ... + 9629684.

It is an arithmetic number, because the mean of its divisors is an integer number (228027736020).

Almost surely, 210343320142100 is an apocalyptic number.

10343320142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343320142100 is an abundant number, since it is smaller than the sum of its proper divisors (22492673844780).

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

10343320142100 is a wasteful number, since it uses less digits than its factorization.

10343320142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18117770 (or 18117763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343320142100 its reverse (124102334301), we get a palindrome (10467422476401).

The spelling of 10343320142100 in words is "ten trillion, three hundred forty-three billion, three hundred twenty million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 173 220 275 300 330 346 519 550 660 692 825 865 1038 1100 1650 1730 1903 2076 2595 3300 3460 3806 4325 5190 5709 7612 8650 9515 10380 11418 12975 17300 19030 22836 25950 28545 38060 47575 51900 57090 95150 114180 142725 190300 285450 570900 18117569 36235138 54352707 72470276 90587845 108705414 181175690 199293259 217410828 271763535 362351380 398586518 452939225 543527070 597879777 797173036 905878450 996466295 1087054140 1195759554 1358817675 1811756900 1992932590 2391519108 2717635350 2989398885 3134339437 3985865180 4982331475 5435270700 5978797770 6268678874 9403018311 9964662950 11957595540 12537357748 14946994425 15671697185 18806036622 19929325900 29893988850 31343394370 34477733807 37612073244 47015091555 59787977700 62686788740 68955467614 78358485925 94030183110 103433201421 137910935228 156716971850 172388669035 188060366220 206866402842 235075457775 313433943700 344777338070 413732805684 470150915550 517166007105 689554676140 861943345175 940301831100 1034332014210 1723886690350 2068664028420 2585830035525 3447773380700 5171660071050 10343320142100