Search a number
-
+
201443101000 = 2353975993467
BaseRepresentation
bin1011101110011011110…
…0011100100101001000
3201020221220201210220121
42323212330130211020
511300023413213000
6232313000433024
720360643051361
oct2734674344510
9636856653817
10201443101000
1178482419359
123305aa78774
1315cc42abaab
149a6da12b68
15538eeceb1a
hex2ee6f1c948

201443101000 has 128 divisors (see below), whose sum is σ = 477169056000. Its totient is φ = 79590451200.

The previous prime is 201443100967. The next prime is 201443101007. The reversal of 201443101000 is 101344102.

It is not an unprimeable number, because it can be changed into a prime (201443101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58101267 + ... + 58104733.

It is an arithmetic number, because the mean of its divisors is an integer number (3727883250).

Almost surely, 2201443101000 is an apocalyptic number.

201443101000 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 201443101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238584528000).

201443101000 is an abundant number, since it is smaller than the sum of its proper divisors (275725955000).

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

201443101000 is a wasteful number, since it uses less digits than its factorization.

201443101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201443101000 its reverse (101344102), we get a palindrome (201544445102).

The spelling of 201443101000 in words is "two hundred one billion, four hundred forty-three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 599 776 970 1000 1198 1940 2396 2425 2995 3467 3880 4792 4850 5990 6934 9700 11980 12125 13868 14975 17335 19400 23960 24250 27736 29950 34670 48500 58103 59900 69340 74875 86675 97000 116206 119800 138680 149750 173350 232412 290515 299500 336299 346700 433375 464824 581030 599000 672598 693400 866750 1162060 1345196 1452575 1681495 1733500 2076733 2324120 2690392 2905150 3362990 3467000 4153466 5810300 6725980 7262875 8306932 8407475 10383665 11620600 13451960 14525750 16613864 16814950 20767330 29051500 33629900 41534660 42037375 51918325 58103000 67259800 83069320 84074750 103836650 168149500 201443101 207673300 259591625 336299000 402886202 415346600 519183250 805772404 1007215505 1038366500 1611544808 2014431010 2076733000 4028862020 5036077525 8057724040 10072155050 20144310100 25180387625 40288620200 50360775250 100721550500 201443101000