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2103284019840 = 27354126718547
BaseRepresentation
bin11110100110110101011…
…111110011001010000000
321110001221110221200112020
4132212311133303022000
5233430011202113330
64250122500001440
7304646224121313
oct36466537631200
97401843850466
102103284019840
11740aa7aa6673
1229b769690280
1312345354c603
1473b29b2a97a
1539aa06b0210
hex1e9b57f3280

2103284019840 has 128 divisors (see below), whose sum is σ = 6867735577920. Its totient is φ = 547195822080.

The previous prime is 2103284019827. The next prime is 2103284019871. The reversal of 2103284019840 is 489104823012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×21032840198403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2103284019792 and 2103284019801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13280554 + ... + 13437993.

Almost surely, 22103284019840 is an apocalyptic number.

2103284019840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103284019840 is an abundant number, since it is smaller than the sum of its proper divisors (4764451558080).

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

2103284019840 is a wasteful number, since it uses less digits than its factorization.

2103284019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26718610 (or 26718598 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 2103284019840 in words is "two trillion, one hundred three billion, two hundred eighty-four million, nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 3280 3936 4920 5248 6560 7872 9840 13120 15744 19680 26240 39360 78720 26718547 53437094 80155641 106874188 133592735 160311282 213748376 267185470 320622564 400778205 427496752 534370940 641245128 801556410 854993504 1068741880 1095460427 1282490256 1603112820 1709987008 2137483760 2190920854 2564980512 3206225640 3286381281 3419974016 4274967520 4381841708 5129961024 5477302135 6412451280 6572762562 8549935040 8763683416 10259922048 10954604270 12824902560 13145525124 16431906405 17099870080 17527366832 21909208540 25649805120 26291050248 32863812810 35054733664 43818417080 51299610240 52582100496 65727625620 70109467328 87636834160 105164200992 131455251240 140218934656 175273668320 210328401984 262910502480 350547336640 420656803968 525821004960 701094673280 1051642009920 2103284019840