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2010201122220 = 2235371087833023
BaseRepresentation
bin11101010000001001010…
…100101110010110101100
321010011200101001112220120
4131100021110232112230
5230413342441402340
64135250150244540
7265142441420124
oct35201124562654
97104611045816
102010201122220
11705581144a05
12285710356750
1311773ab0c875
146d419607c84
15374538674d0
hex1d40952e5ac

2010201122220 has 96 divisors (see below), whose sum is σ = 5786011435008. Its totient is φ = 521085249792.

The previous prime is 2010201122191. The next prime is 2010201122227. The reversal of 2010201122220 is 222211020102.

It is a super-3 number, since 3×20102011222203 (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010201122220.

It is not an unprimeable number, because it can be changed into a prime (2010201122227) by changing a digit.

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, 1996629 + ... + 2829651.

It is an arithmetic number, because the mean of its divisors is an integer number (60270952448).

Almost surely, 22010201122220 is an apocalyptic number.

2010201122220 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 2010201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893005717504).

2010201122220 is an abundant number, since it is smaller than the sum of its proper divisors (3775810312788).

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

2010201122220 is a wasteful number, since it uses less digits than its factorization.

2010201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834159 (or 834157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2010201122220 its reverse (222211020102), we get a palindrome (2232412142322).

The spelling of 2010201122220 in words is "two trillion, ten billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1087 1110 2174 2220 3261 4348 5435 6522 10870 13044 16305 21740 32610 40219 65220 80438 120657 160876 201095 241314 402190 482628 603285 804380 833023 1206570 1666046 2413140 2499069 3332092 4165115 4998138 8330230 9996276 12495345 16660460 24990690 30821851 49981380 61643702 92465553 123287404 154109255 184931106 308218510 369862212 462327765 616437020 905496001 924655530 1810992002 1849311060 2716488003 3621984004 4527480005 5432976006 9054960010 10865952012 13582440015 18109920020 27164880030 33503352037 54329760060 67006704074 100510056111 134013408148 167516760185 201020112222 335033520370 402040224444 502550280555 670067040740 1005100561110 2010201122220