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10223312221100 = 22521123478597521
BaseRepresentation
bin1001010011000100110011…
…1001001011001110101100
31100012100011012120110202002
42110301030321023032230
52314444320412033400
633424305204551432
72103416131040426
oct224611471131654
940170135513662
1010223312221100
113291756255a50
12119141a6b2578
13592092123164
14274b4d373816
1512ade9cebed5
hex94c4ce4b3ac

10223312221100 has 144 divisors (see below), whose sum is σ = 25790915275776. Its totient is φ = 3480276096000.

The previous prime is 10223312221039. The next prime is 10223312221121. The reversal of 10223312221100 is 112221332201.

It is a super-2 number, since 2×102233122211002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3109661 + ... + 5487860.

It is an arithmetic number, because the mean of its divisors is an integer number (179103578304).

Almost surely, 210223312221100 is an apocalyptic number.

10223312221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223312221100 is an abundant number, since it is smaller than the sum of its proper divisors (15567603054676).

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

10223312221100 is a wasteful number, since it uses less digits than its factorization.

10223312221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597616 (or 8597609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10223312221100 its reverse (112221332201), we get a palindrome (10335533553301).

The spelling of 10223312221100 in words is "ten trillion, two hundred twenty-three billion, three hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 47 50 55 92 94 100 110 115 188 220 230 235 253 275 460 470 506 517 550 575 940 1012 1034 1081 1100 1150 1175 1265 2068 2162 2300 2350 2530 2585 4324 4700 5060 5170 5405 6325 10340 10810 11891 12650 12925 21620 23782 25300 25850 27025 47564 51700 54050 59455 108100 118910 237820 297275 594550 1189100 8597521 17195042 34390084 42987605 85975210 94572731 171950420 189145462 197742983 214938025 378290924 395485966 404083487 429876050 472863655 790971932 808166974 859752100 945727310 988714915 1616333948 1891454620 1977429830 2020417435 2175172813 2364318275 3954859660 4040834870 4350345626 4444918357 4728636550 4943574575 8081669740 8700691252 8889836714 9293920201 9457273100 9887149150 10102087175 10875864065 17779673428 18587840402 19774298300 20204174350 21751728130 22224591785 37175680804 40408348700 43503456260 44449183570 46469601005 54379320325 88898367140 92939202010 102233122211 108758640650 111122958925 185878404020 204466244422 217517281300 222245917850 232348005025 408932488844 444491835700 464696010050 511165611055 929392020100 1022331222110 2044662444220 2555828055275 5111656110550 10223312221100