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2010222020300 = 22521329253921001
BaseRepresentation
bin11101010000001010100…
…100011100011011001100
321010011201211101021200112
4131100022210130123030
5230413413314122200
64135252214215152
7265143114146354
oct35201244343314
97104654337615
102010222020300
11705591a18a4a
122857173544b8
131177422489b0
146d41c2c7b64
15374555e4535
hex1d40a91c6cc

2010222020300 has 144 divisors (see below), whose sum is σ = 4861870591200. Its totient is φ = 716325120000.

The previous prime is 2010222020273. The next prime is 2010222020309. The reversal of 2010222020300 is 30202220102.

It is a super-2 number, since 2×20102220203002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010222020309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95709800 + ... + 95730800.

Almost surely, 22010222020300 is an apocalyptic number.

2010222020300 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 2010222020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430935295600).

2010222020300 is an abundant number, since it is smaller than the sum of its proper divisors (2851648570900).

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

2010222020300 is a wasteful number, since it uses less digits than its factorization.

2010222020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23596 (or 23589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2010222020300 its reverse (30202220102), we get a palindrome (2040424240402).

The spelling of 2010222020300 in words is "two trillion, ten billion, two hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2539 2900 3770 5078 7540 9425 10156 12695 18850 21001 25390 33007 37700 42002 50780 63475 66014 73631 84004 105005 126950 132028 147262 165035 210010 253900 273013 294524 330070 368155 420020 525025 546026 609029 660140 736310 825175 957203 1050050 1092052 1218058 1365065 1472620 1650350 1840775 1914406 2100100 2436116 2730130 3045145 3300700 3681550 3828812 4786015 5460260 6090290 6825325 7363100 7917377 9572030 12180580 13650650 15225725 15834754 19144060 23930075 27301300 30451450 31669508 39586885 47860150 53321539 60902900 79173770 95720300 106643078 158347540 197934425 213286156 266607695 395868850 533215390 693180007 791737700 1066430780 1333038475 1386360014 1546324631 2666076950 2772720028 3092649262 3465900035 5332153900 6185298524 6931800070 7731623155 13863600140 15463246310 17329500175 20102220203 30926492620 34659000350 38658115775 40204440406 69318000700 77316231550 80408880812 100511101015 154632463100 201022202030 402044404060 502555505075 1005111010150 2010222020300