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2134242422100 = 2232524355148383
BaseRepresentation
bin11111000011101010110…
…000101110110101010100
321120000212000122110122100
4133003222300232311110
5234431412030001400
64312242450002100
7310123342156665
oct37035260566524
97500760573570
102134242422100
11753144231488
122a5769576330
13126348348a29
147542557536c
153a7b3500100
hex1f0eac2ed54

2134242422100 has 108 divisors (see below), whose sum is σ = 6845238015616. Its totient is φ = 555895690560.

The previous prime is 2134242422093. The next prime is 2134242422129. The reversal of 2134242422100 is 12242424312.

It is a happy number.

2134242422100 is a `hidden beast` number, since 2 + 1 + 3 + 424 + 24 + 2 + 210 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27535492 + ... + 27612891.

Almost surely, 22134242422100 is an apocalyptic number.

2134242422100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134242422100 is an abundant number, since it is smaller than the sum of its proper divisors (4710995593516).

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

2134242422100 is a wasteful number, since it uses less digits than its factorization.

2134242422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55148446 (or 55148436 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2134242422100 its reverse (12242424312), we get a palindrome (2146484846412).

The spelling of 2134242422100 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700 55148383 110296766 165445149 220593532 275741915 330890298 496335447 551483830 661780596 827225745 992670894 1102967660 1378709575 1654451490 1985341788 2371380469 2481677235 2757419150 3308902980 4136128725 4742760938 4963354470 5514838300 7114141407 8272257450 9485521876 9926708940 11856902345 12408386175 14228282814 16544514900 21342424221 23713804690 24816772350 28456565628 35570707035 42684848442 47427609380 49633544700 59284511725 71141414070 85369696884 106712121105 118569023450 142282828140 177853535175 213424242210 237138046900 355707070350 426848484420 533560605525 711414140700 1067121211050 2134242422100