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201021000221200 = 24524733564718803
BaseRepresentation
bin101101101101001111011001…
…010011111000001000010000
3222100202102100010200020211211
4231231033121103320020100
5202322012002024034300
61551311434515345504
760225200532102325
oct5555173123701020
9870672303606754
10201021000221200
1159062589022255
121a6672722b2294
1388222782190c3
14378d67b11ab4c
15183903e2984ba
hexb6d3d94f8210

201021000221200 has 120 divisors (see below), whose sum is σ = 483166229275008. Its totient is φ = 80372900375040.

The previous prime is 201021000221189. The next prime is 201021000221203. The reversal of 201021000221200 is 2122000120102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201021000221203) by changing a digit.

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, 10690890999 + ... + 10690909801.

Almost surely, 2201021000221200 is an apocalyptic number.

201021000221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021000221200 is an abundant number, since it is smaller than the sum of its proper divisors (282145229053808).

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

201021000221200 is a wasteful number, since it uses less digits than its factorization.

201021000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201021000221200 its reverse (2122000120102), we get a palindrome (203143000341302).

The spelling of 201021000221200 in words is "two hundred one trillion, twenty-one billion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4733 5647 9466 11294 18803 18932 22588 23665 28235 37606 37864 45176 47330 56470 75212 75728 90352 94015 94660 112940 118325 141175 150424 188030 189320 225880 236650 282350 300848 376060 378640 451760 470075 473300 564700 752120 940150 946600 1129400 1504240 1880300 1893200 2258800 3760600 7521200 26727251 53454502 88994599 106180541 106909004 133636255 177989198 212361082 213818008 267272510 355978396 424722164 427636016 444972995 530902705 534545020 668181275 711956792 849444328 889945990 1061805410 1069090040 1336362550 1423913584 1698888656 1779891980 2123610820 2138180080 2224864975 2654513525 2672725100 3559783960 4247221640 4449729950 5309027050 5345450200 7119567920 8494443280 8899459900 10618054100 10690900400 17798919800 21236108200 35597839600 42472216400 502552500553 1005105001106 2010210002212 2512762502765 4020420004424 5025525005530 8040840008848 10051050011060 12563812513825 20102100022120 25127625027650 40204200044240 50255250055300 100510500110600 201021000221200