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222134321100 = 223523720012101
BaseRepresentation
bin1100111011100000111…
…1001011111111001100
3210020100220220200212210
43032320033023333030
512114412341233400
6250014101230420
722022460401256
oct3167017137714
9706326820783
10222134321100
118623004025a
1237074402410
1317c40c406b3
14aa73a28cd6
155ba1786950
hex33b83cbfcc

222134321100 has 72 divisors (see below), whose sum is σ = 660079172368. Its totient is φ = 57634848000.

The previous prime is 222134321053. The next prime is 222134321131. The reversal of 222134321100 is 1123431222.

It is a super-3 number, since 3×2221343211003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 9994951 + ... + 10017150.

Almost surely, 2222134321100 is an apocalyptic number.

222134321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222134321100 is an abundant number, since it is smaller than the sum of its proper divisors (437944851268).

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

222134321100 is a wasteful number, since it uses less digits than its factorization.

222134321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20012155 (or 20012148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 222134321100 its reverse (1123431222), we get a palindrome (223257752322).

The spelling of 222134321100 in words is "two hundred twenty-two billion, one hundred thirty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 20012101 40024202 60036303 80048404 100060505 120072606 200121010 240145212 300181515 400242020 500302525 600363030 740447737 1000605050 1200726060 1480895474 1500907575 2001210100 2221343211 2961790948 3001815150 3702238685 4442686422 6003630300 7404477370 8885372844 11106716055 14808954740 18511193425 22213432110 37022386850 44426864220 55533580275 74044773700 111067160550 222134321100