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1130200200 = 2332521813469
BaseRepresentation
bin100001101011101…
…0111110010001000
32220202200010012200
41003113113302020
54303312401300
6304052040200
740002354213
oct10327276210
92822603180
101130200200
1152aa72158
12276603060
131501c5b1c
14aa16077a
156934e200
hex435d7c88

1130200200 has 144 divisors (see below), whose sum is σ = 3817659300. Its totient is φ = 299635200.

The previous prime is 1130200193. The next prime is 1130200213. The reversal of 1130200200 is 20020311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30276 + 1130169924 = 174^2 + 33618^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324066 + ... + 327534.

Almost surely, 21130200200 is an apocalyptic number.

1130200200 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 1130200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908829650).

1130200200 is an abundant number, since it is smaller than the sum of its proper divisors (2687459100).

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

1130200200 is a wasteful number, since it uses less digits than its factorization.

1130200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1130200200 is about 33618.4502914694. The cubic root of 1130200200 is about 1041.6419452977.

Adding to 1130200200 its reverse (20020311), we get a palindrome (1150220511).

The spelling of 1130200200 in words is "one billion, one hundred thirty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 181 200 225 300 360 362 450 543 600 724 900 905 1086 1448 1629 1800 1810 2172 2715 3258 3469 3620 4344 4525 5430 6516 6938 7240 8145 9050 10407 10860 13032 13575 13876 16290 17345 18100 20814 21720 27150 27752 31221 32580 34690 36200 40725 41628 52035 54300 62442 65160 69380 81450 83256 86725 104070 108600 124884 138760 156105 162900 173450 208140 249768 260175 312210 325800 346900 416280 520350 624420 627889 693800 780525 1040700 1248840 1255778 1561050 1883667 2081400 2511556 3122100 3139445 3767334 5023112 5651001 6244200 6278890 7534668 9418335 11302002 12557780 15069336 15697225 18836670 22604004 25115560 28255005 31394450 37673340 45208008 47091675 56510010 62788900 75346680 94183350 113020020 125577800 141275025 188366700 226040040 282550050 376733400 565100100 1130200200