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2041104133320 = 2335723771022249
BaseRepresentation
bin11101101100111011010…
…010010110110011001000
321020010110001112011122020
4131230323102112303020
5231420140124231240
64201400441124440
7300315314605320
oct35547322266310
97203401464566
102041104133320
1171769a0875aa
1228b6b5789720
1311a6242b3a55
1470b0b954280
15381618b50d0
hex1db3b496cc8

2041104133320 has 128 divisors (see below), whose sum is σ = 7001022240000. Its totient is φ = 466341359616.

The previous prime is 2041104133283. The next prime is 2041104133331. The reversal of 2041104133320 is 233314011402.

It is a happy number.

It is a super-5 number, since 5×20411041333205 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485556 + ... + 2507804.

It is an arithmetic number, because the mean of its divisors is an integer number (54695486250).

Almost surely, 22041104133320 is an apocalyptic number.

2041104133320 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 2041104133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500511120000).

2041104133320 is an abundant number, since it is smaller than the sum of its proper divisors (4959918106680).

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

2041104133320 is a wasteful number, since it uses less digits than its factorization.

2041104133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024647 (or 1024643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2041104133320 its reverse (233314011402), we get a palindrome (2274418144722).

The spelling of 2041104133320 in words is "two trillion, forty-one billion, one hundred four million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2377 4754 7131 9508 11885 14262 16639 19016 23770 28524 33278 35655 47540 49917 57048 66556 71310 83195 95080 99834 133112 142620 166390 199668 249585 285240 332780 399336 499170 665560 998340 1022249 1996680 2044498 3066747 4088996 5111245 6133494 7155743 8177992 10222490 12266988 14311486 15333735 20444980 21467229 24533976 28622972 30667470 35778715 40889960 42934458 57245944 61334940 71557430 85868916 107336145 122669880 143114860 171737832 214672290 286229720 429344580 858689160 2429885873 4859771746 7289657619 9719543492 12149429365 14579315238 17009201111 19439086984 24298858730 29158630476 34018402222 36448288095 48597717460 51027603333 58317260952 68036804444 72896576190 85046005555 97195434920 102055206666 136073608888 145793152380 170092011110 204110413332 255138016665 291586304760 340184022220 408220826664 510276033330 680368044440 1020552066660 2041104133320