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110221012001010 = 235198914331516189
BaseRepresentation
bin11001000011111011010100…
…010001000110000011110010
3112110021000200211121201021010
4121003323110101012003302
5103421330113033013020
61030230500042011350
732134130266523661
oct3103732421060362
9473230624551233
10110221012001010
1132135517900789
12104416a1aa6b56
134966a48847a11
141d30a2289add8
15cb217c6a4de0
hex643ed44460f2

110221012001010 has 128 divisors (see below), whose sum is σ = 281778453216000. Its totient is φ = 27513208369152.

The previous prime is 110221012000933. The next prime is 110221012001033. The reversal of 110221012001010 is 10100210122011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71937996 + ... + 73454184.

It is an arithmetic number, because the mean of its divisors is an integer number (2201394165750).

Almost surely, 2110221012001010 is an apocalyptic number.

110221012001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221012001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140889226608000).

110221012001010 is an abundant number, since it is smaller than the sum of its proper divisors (171557441214990).

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

110221012001010 is a wasteful number, since it uses less digits than its factorization.

110221012001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517740.

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

Adding to 110221012001010 its reverse (10100210122011), we get a palindrome (120321222123021).

The spelling of 110221012001010 in words is "one hundred ten trillion, two hundred twenty-one billion, twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 89 95 114 178 190 267 285 445 534 570 890 1335 1433 1691 2670 2866 3382 4299 5073 7165 8455 8598 10146 14330 16910 21495 25365 27227 42990 50730 54454 81681 127537 136135 163362 255074 272270 382611 408405 637685 765222 816810 1275370 1516189 1913055 2423203 3032378 3826110 4548567 4846406 7269609 7580945 9097134 12116015 14539218 15161890 22742835 24232030 28807591 36348045 45485670 57615182 72696090 86422773 134940821 144037955 172845546 269881642 288075910 404822463 432113865 674704105 809644926 864227730 1349408210 2024112315 2172698837 2563875599 4048224630 4345397674 5127751198 6518096511 7691626797 10863494185 12819377995 13036193022 15383253594 21726988370 25638755990 32590482555 38458133985 41281277903 65180965110 76916267970 82562555806 123843833709 193370196493 206406389515 247687667418 386740392986 412812779030 580110589479 619219168545 966850982465 1160221178958 1238438337090 1933701964930 2900552947395 3674033733367 5801105894790 7348067466734 11022101200101 18370168666835 22044202400202 36740337333670 55110506000505 110221012001010