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343221022442100 = 2235211104006370437
BaseRepresentation
bin100111000001010000101111…
…1000111110100001001110100
31200000020121110011212021020210
41032002201133013310021310
5324441313123221121400
63213545321102025420
7132202620615542445
oct11602413707641164
91600217404767223
10343221022442100
119a3a7244462360
12325b2649b78270
13119687acc9029a
1460a7db3cc12cc
1529a2e76b25950
hex138285f1f4274

343221022442100 has 72 divisors (see below), whose sum is σ = 1083330354482208. Its totient is φ = 83205096348800.

The previous prime is 343221022442063. The next prime is 343221022442113. The reversal of 343221022442100 is 1244220122343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 52003181919 + ... + 52003188518.

It is an arithmetic number, because the mean of its divisors is an integer number (15046254923364).

Almost surely, 2343221022442100 is an apocalyptic number.

343221022442100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343221022442100 is an abundant number, since it is smaller than the sum of its proper divisors (740109332040108).

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

343221022442100 is a wasteful number, since it uses less digits than its factorization.

343221022442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104006370465 (or 104006370458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 343221022442100 its reverse (1244220122343), we get a palindrome (344465242564443).

The spelling of 343221022442100 in words is "three hundred forty-three trillion, two hundred twenty-one billion, twenty-two million, four 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 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 104006370437 208012740874 312019111311 416025481748 520031852185 624038222622 1040063704370 1144070074807 1248076445244 1560095556555 2080127408740 2288140149614 2600159260925 3120191113110 3432210224421 4576280299228 5200318521850 5720350374035 6240382226220 6864420448842 7800477782775 10400637043700 11440700748070 13728840897684 15600955565550 17161051122105 22881401496140 28601751870175 31201911131100 34322102244210 57203503740350 68644204488420 85805255610525 114407007480700 171610511221050 343221022442100