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201130200 = 233252195881
BaseRepresentation
bin10111111110100…
…00000011011000
3112000110110202200
423333100003120
5402442131300
631542530200
74661402265
oct1377200330
9460413680
10201130200
11a3595107
1257436960
133289186b
141c9d826c
15129ce200
hexbfd00d8

201130200 has 144 divisors (see below), whose sum is σ = 711133800. Its totient is φ = 50803200.

The previous prime is 201130199. The next prime is 201130207. The reversal of 201130200 is 2031102.

It is a happy number.

201130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31260 + ... + 37140.

Almost surely, 2201130200 is an apocalyptic number.

201130200 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 201130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355566900).

201130200 is an abundant number, since it is smaller than the sum of its proper divisors (510003600).

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

201130200 is a wasteful number, since it uses less digits than its factorization.

201130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5910 counting only the distinct ones).

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

The square root of 201130200 is about 14182.0379353603. The cubic root of 201130200 is about 585.9030540817.

Adding to 201130200 its reverse (2031102), we get a palindrome (203161302).

The spelling of 201130200 in words is "two hundred one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 5881 6840 8550 11400 11762 17100 17643 23524 29405 34200 35286 47048 52929 58810 70572 88215 105858 111739 117620 141144 147025 176430 211716 223478 235240 264645 294050 335217 352860 423432 441075 446956 529290 558695 588100 670434 705720 882150 893912 1005651 1058580 1117390 1176200 1323225 1340868 1676085 1764300 2011302 2117160 2234780 2646450 2681736 2793475 3352170 3528600 4022604 4469560 5028255 5292900 5586950 6704340 8045208 8380425 10056510 10585800 11173900 13408680 16760850 20113020 22347800 25141275 33521700 40226040 50282550 67043400 100565100 201130200