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210011011022100 = 223522397313777097
BaseRepresentation
bin101111110000000011111111…
…101101011111110100010100
31000112120212010110001012010010
4233300003333231133310110
5210011310022310201400
62022353420535000220
762143536426062301
oct5760037755376424
91015525113035103
10210011011022100
1160a09195823232
121b67965a809070
139024c517008a2
1439c08312920a8
151942d059ec450
hexbf00ffb5fd14

210011011022100 has 144 divisors (see below), whose sum is σ = 640587241542528. Its totient is φ = 53015778140160.

The previous prime is 210011011022051. The next prime is 210011011022143. The reversal of 210011011022100 is 1220110110012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156219249 + ... + 157557848.

It is an arithmetic number, because the mean of its divisors is an integer number (4448522510712).

Almost surely, 2210011011022100 is an apocalyptic number.

210011011022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011011022100 is an abundant number, since it is smaller than the sum of its proper divisors (430576230520428).

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

210011011022100 is a wasteful number, since it uses less digits than its factorization.

210011011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313777234 (or 313777227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210011011022100 its reverse (1220110110012), we get a palindrome (211231121132112).

The spelling of 210011011022100 in words is "two hundred ten trillion, eleven billion, eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 97 100 115 138 150 194 230 276 291 300 345 388 460 485 575 582 690 970 1150 1164 1380 1455 1725 1940 2231 2300 2425 2910 3450 4462 4850 5820 6693 6900 7275 8924 9700 11155 13386 14550 22310 26772 29100 33465 44620 55775 66930 111550 133860 167325 223100 334650 669300 313777097 627554194 941331291 1255108388 1568885485 1882662582 3137770970 3765325164 4706656455 6275541940 7216873231 7844427425 9413312910 14433746462 15688854850 18826625820 21650619693 23533282275 28867492924 30436378409 31377709700 36084366155 43301239386 47066564550 60872756818 72168732310 86602478772 91309135227 94133129100 108253098465 121745513636 144337464620 152181892045 180421830775 182618270454 216506196930 304363784090 360843661550 365236540908 433012393860 456545676135 541265492325 608727568180 700036703407 721687323100 760909460225 913091352270 1082530984650 1400073406814 1521818920450 1826182704540 2100110110221 2165061969300 2282728380675 2800146813628 3043637840900 3500183517035 4200220220442 4565456761350 7000367034070 8400440440884 9130913522700 10500550551105 14000734068140 17500917585175 21001101102210 35001835170350 42002202204420 52502752755525 70003670340700 105005505511050 210011011022100