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20110203300 = 22352117185831
BaseRepresentation
bin10010101110101010…
…010101100110100100
31220220111220011202110
4102232222111212210
5312141203001200
613123303241020
71311230623215
oct225652254644
956814804673
1020110203300
11858a75a430
123a92a49170
131b864816a5
14d8abb140c
157ca788b50
hex4aea959a4

20110203300 has 144 divisors (see below), whose sum is σ = 64369880064. Its totient is φ = 4806480000.

The previous prime is 20110203233. The next prime is 20110203353. The reversal of 20110203300 is 330201102.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191385 + ... + 277215.

It is an arithmetic number, because the mean of its divisors is an integer number (447013056).

Almost surely, 220110203300 is an apocalyptic number.

20110203300 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 20110203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32184940032).

20110203300 is an abundant number, since it is smaller than the sum of its proper divisors (44259676764).

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

20110203300 is a wasteful number, since it uses less digits than its factorization.

20110203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85930 (or 85923 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20110203300 its reverse (330201102), we get a palindrome (20440404402).

The spelling of 20110203300 in words is "twenty billion, one hundred ten million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 85831 117150 171662 234300 257493 343324 429155 514986 858310 944141 1029972 1287465 1716620 1888282 2145775 2574930 2832423 3776564 4291550 4720705 5149860 5664846 6094001 6437325 8583100 9441410 11329692 12188002 12874650 14162115 18282003 18882820 23603525 24376004 25749300 28324230 30470005 36564006 47207050 56648460 60940010 67034011 70810575 73128012 91410015 94414100 121880020 134068022 141621150 152350025 182820030 201102033 268136044 283242300 304700050 335170055 365640060 402204066 457050075 609400100 670340110 804408132 914100150 1005510165 1340680220 1675850275 1828200300 2011020330 3351700550 4022040660 5027550825 6703401100 10055101650 20110203300