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2212044440100 = 22352111016636797
BaseRepresentation
bin100000001100001000000…
…111111000001000100100
321211110200011212111011120
4200030020013320020210
5242220231334040400
64412111005133540
7315546344335545
oct40141007701044
97743604774146
102212044440100
11783139467110
122b886125a2b0
13130796ca7881
14790c643a4cc
153c818a4eca0
hex203081f8224

2212044440100 has 144 divisors (see below), whose sum is σ = 7051146572736. Its totient is φ = 530943680000.

The previous prime is 2212044440071. The next prime is 2212044440117. The reversal of 2212044440100 is 10444402122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2985099 + ... + 3651698.

It is an arithmetic number, because the mean of its divisors is an integer number (48966295644).

Almost surely, 22212044440100 is an apocalyptic number.

2212044440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212044440100 is an abundant number, since it is smaller than the sum of its proper divisors (4839102132636).

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

2212044440100 is a wasteful number, since it uses less digits than its factorization.

2212044440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636926 (or 6636919 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2212044440100 its reverse (10444402122), we get a palindrome (2222488842222).

The spelling of 2212044440100 in words is "two trillion, two hundred twelve billion, forty-four million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 6636797 13273594 19910391 26547188 33183985 39820782 66367970 73004767 79641564 99551955 132735940 146009534 165919925 199103910 219014301 292019068 331839850 365023835 398207820 438028602 497759775 663679700 670316497 730047670 876057204 995519550 1095071505 1340632994 1460095340 1825119175 1991039100 2010949491 2190143010 2681265988 3351582485 3650238350 4021898982 4380286020 5475357525 6703164970 7300476700 7373481467 8043797964 10054747455 10950715050 13406329940 14746962934 16757912425 20109494910 21901430100 22120444401 29493925868 33515824850 36867407335 40218989820 44240888802 50273737275 67031649700 73734814670 88481777604 100547474550 110602222005 147469629340 184337036675 201094949100 221204444010 368674073350 442408888020 553011110025 737348146700 1106022220050 2212044440100