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343031103014100 = 223521776781876011
BaseRepresentation
bin100110111111111000010011…
…1000010101100010011010100
31122222120110020100221200212220
41031333300213002230103110
5324430210144332422400
63213322151353342340
7132153115341205254
oct11577604702542324
91588513210850786
10343031103014100
119a3337459380a6
12325818864079b0
131195390425c117
14609cb18937964
15299d05d6777a0
hex137fc270ac4d4

343031103014100 has 144 divisors (see below), whose sum is σ = 1050900759671616. Its totient is φ = 86092861184000.

The previous prime is 343031103014071. The next prime is 343031103014107. The reversal of 343031103014100 is 1410301130343.

It is a super-2 number, since 2×3430311030141002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343031103014107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391145095 + ... + 392021105.

It is an arithmetic number, because the mean of its divisors is an integer number (7297921942164).

Almost surely, 2343031103014100 is an apocalyptic number.

343031103014100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343031103014100 is an abundant number, since it is smaller than the sum of its proper divisors (707869656657516).

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

343031103014100 is a wasteful number, since it uses less digits than its factorization.

343031103014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952826 (or 952819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 343031103014100 its reverse (1410301130343), we get a palindrome (344441404144443).

The spelling of 343031103014100 in words is "three hundred forty-three trillion, thirty-one billion, one hundred three million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 76781 153562 230343 307124 383905 460686 767810 876011 921372 1151715 1305277 1535620 1752022 1919525 2303430 2610554 2628033 3504044 3839050 3915831 4380055 4606860 5221108 5256066 5758575 6526385 7678100 7831662 8760110 10512132 11517150 13052770 13140165 14892187 15663324 17520220 19579155 21900275 23034300 26105540 26280330 29784374 32631925 39158310 43800550 44676561 52560660 59568748 65263850 65700825 74460935 78316620 87601100 89353122 97895775 130527700 131401650 148921870 178706244 195791550 223382805 262803300 297843740 372304675 391583100 446765610 744609350 893531220 1116914025 1489218700 2233828050 4467656100 67261000591 134522001182 201783001773 269044002364 336305002955 403566003546 672610005910 807132007092 1008915008865 1143437010047 1345220011820 1681525014775 2017830017730 2286874020094 3363050029550 3430311030141 4035660035460 4573748040188 5044575044325 5717185050235 6726100059100 6860622060282 10089150088650 11434370100470 13721244120564 17151555150705 20178300177300 22868740200940 28585925251175 34303110301410 57171850502350 68606220602820 85757775753525 114343701004700 171515551507050 343031103014100