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2041343221000 = 235317300140013
BaseRepresentation
bin11101101101001001100…
…010011001110100001000
321020011001201102002021111
4131231021202121310020
5231421132331033000
64201440301420104
7300324250041046
oct35551142316410
97204051362244
102041343221000
11717802037726
1228b76186a634
1311a6619a5555
1470b315cd396
1538177890cba
hex1db49899d08

2041343221000 has 128 divisors (see below), whose sum is σ = 5059539819360. Its totient is φ = 768230400000.

The previous prime is 2041343220971. The next prime is 2041343221007. The reversal of 2041343221000 is 1223431402.

It can be written as a sum of positive squares in 16 ways, for example, as 13470387844 + 2027872833156 = 116062^2 + 1424034^2 .

It is not an unprimeable number, because it can be changed into a prime (2041343221007) 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, 50996994 + ... + 51037006.

Almost surely, 22041343221000 is an apocalyptic number.

2041343221000 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 2041343221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529769909680).

2041343221000 is an abundant number, since it is smaller than the sum of its proper divisors (3018196598360).

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

2041343221000 is a wasteful number, since it uses less digits than its factorization.

2041343221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43052 (or 43038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2041343221000 its reverse (1223431402), we get a palindrome (2042566652402).

The spelling of 2041343221000 in words is "two trillion, forty-one billion, three hundred forty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3001 3400 4250 6002 8500 12004 15005 17000 24008 30010 40013 51017 60020 75025 80026 102034 120040 150050 160052 200065 204068 255085 300100 320104 375125 400130 408136 510170 600200 680221 750250 800260 1000325 1020340 1275425 1360442 1500500 1600520 2000650 2040680 2550850 2720884 3001000 3401105 4001300 5001625 5101700 5441768 6377125 6802210 8002600 10003250 10203400 12754250 13604420 17005525 20006500 25508500 27208840 34011050 40013000 51017000 68022100 85027625 120079013 136044200 170055250 240158026 340110500 480316052 600395065 680221000 960632104 1200790130 2041343221 2401580260 3001975325 4082686442 4803160520 6003950650 8165372884 10206716105 12007901300 15009876625 16330745768 20413432210 24015802600 30019753250 40826864420 51033580525 60039506500 81653728840 102067161050 120079013000 204134322100 255167902625 408268644200 510335805250 1020671610500 2041343221000