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1141098200 = 2352111927299
BaseRepresentation
bin100010000000011…
…1100011011011000
32221112011210110022
41010000330123120
54314110120300
6305121410012
740164113624
oct10400743330
92845153408
101141098200
11536135a70
1227a199908
13152540348
14ab79a184
156a2a3285
hex4403c6d8

1141098200 has 96 divisors (see below), whose sum is σ = 3046680000. Its totient is φ = 393091200.

The previous prime is 1141098197. The next prime is 1141098209. The reversal of 1141098200 is 28901411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141098200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141098209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28151 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (31736250).

Almost surely, 21141098200 is an apocalyptic number.

1141098200 is a gapful number since it is divisible by the number (10) 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 1141098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340000).

1141098200 is an abundant number, since it is smaller than the sum of its proper divisors (1905581800).

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

1141098200 is a wasteful number, since it uses less digits than its factorization.

1141098200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27345 (or 27336 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1141098200 is about 33780.1450559349. The cubic root of 1141098200 is about 1044.9792659363.

Adding to 1141098200 its reverse (28901411), we get a palindrome (1169999611).

The spelling of 1141098200 in words is "one billion, one hundred forty-one million, ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 27299 41800 54598 109196 136495 218392 272990 300289 518681 545980 600578 682475 1037362 1091960 1201156 1364950 1501445 2074724 2402312 2593405 2729900 3002890 4149448 5186810 5459800 5705491 6005780 7507225 10373620 11410982 12011560 12967025 15014450 20747240 22821964 25934050 28527455 30028900 45643928 51868100 57054910 60057800 103736200 114109820 142637275 228219640 285274550 570549100 1141098200