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1011130200 = 233252599521
BaseRepresentation
bin111100010001001…
…001111101011000
32121110121201212200
4330101021331120
54032322131300
6244200010200
734025315313
oct7421117530
92543551780
101011130200
114798360a3
12242760960
131316362c2
149840797a
155db7e200
hex3c449f58

1011130200 has 144 divisors (see below), whose sum is σ = 3453629400. Its totient is φ = 265036800.

The previous prime is 1011130171. The next prime is 1011130207. The reversal of 1011130200 is 20311101.

1011130200 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 (1011130207) 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, 101440 + ... + 110960.

Almost surely, 21011130200 is an apocalyptic number.

1011130200 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 1011130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726814700).

1011130200 is an abundant number, since it is smaller than the sum of its proper divisors (2442499200).

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

1011130200 is a wasteful number, since it uses less digits than its factorization.

1011130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011130200 is about 31798.2735380398. The cubic root of 1011130200 is about 1003.6963865582.

Adding to 1011130200 its reverse (20311101), we get a palindrome (1031441301).

The spelling of 1011130200 in words is "one billion, eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 150 177 180 200 225 236 295 300 354 360 450 472 531 590 600 708 885 900 1062 1180 1416 1475 1770 1800 2124 2360 2655 2950 3540 4248 4425 5310 5900 7080 8850 9521 10620 11800 13275 17700 19042 21240 26550 28563 35400 38084 47605 53100 57126 76168 85689 95210 106200 114252 142815 171378 190420 228504 238025 285630 342756 380840 428445 476050 561739 571260 685512 714075 856890 952100 1123478 1142520 1428150 1685217 1713780 1904200 2142225 2246956 2808695 2856300 3370434 3427560 4284450 4493912 5055651 5617390 5712600 6740868 8426085 8568900 10111302 11234780 13481736 14043475 16852170 17137800 20222604 22469560 25278255 28086950 33704340 40445208 42130425 50556510 56173900 67408680 84260850 101113020 112347800 126391275 168521700 202226040 252782550 337043400 505565100 1011130200