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20110221301020 = 22354335272209997
BaseRepresentation
bin1001001001010010001101…
…00110001101010100011100
32122012111222220021201221220
410210221012212031110130
510113441213123113040
6110434301431053340
74143626013434544
oct444510646152434
978174886251856
1020110221301020
116453773719954
1223095b4511250
13b2b5025b5596
144d74a89aa324
1524d1a65e42d0
hex124a4698d51c

20110221301020 has 96 divisors (see below), whose sum is σ = 57634484802048. Its totient is φ = 5236523642112.

The previous prime is 20110221301003. The next prime is 20110221301031. The reversal of 20110221301020 is 2010312201102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994662 + ... + 10204658.

It is an arithmetic number, because the mean of its divisors is an integer number (600359216688).

Almost surely, 220110221301020 is an apocalyptic number.

20110221301020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110221301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28817242401024).

20110221301020 is an abundant number, since it is smaller than the sum of its proper divisors (37524263501028).

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

20110221301020 is a wasteful number, since it uses less digits than its factorization.

20110221301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213579 (or 2213577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20110221301020 its reverse (2010312201102), we get a palindrome (22120533502122).

The spelling of 20110221301020 in words is "twenty trillion, one hundred ten billion, two hundred twenty-one million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 3527 7054 10581 14108 17635 21162 35270 42324 52905 70540 105810 151661 211620 303322 454983 606644 758305 909966 1516610 1819932 2209997 2274915 3033220 4419994 4549830 6629991 8839988 9099660 11049985 13259982 22099970 26519964 33149955 44199940 66299910 95029871 132599820 190059742 285089613 380119484 475149355 570179226 950298710 1140358452 1425448065 1900597420 2850896130 5701792260 7794659419 15589318838 23383978257 31178637676 38973297095 46767956514 77946594190 93535913028 116919891285 155893188380 233839782570 335170355017 467679565140 670340710034 1005511065051 1340681420068 1675851775085 2011022130102 3351703550170 4022044260204 5027555325255 6703407100340 10055110650510 20110221301020