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1330111200 = 253521150383
BaseRepresentation
bin100111101000111…
…1110001011100000
310102200211122112210
41033101332023200
510211002024300
6335552522120
744650521135
oct11721761340
93380748483
101330111200
116228a4260
12311550340
1318274b762
14c891c58c
157bb8c050
hex4f47e2e0

1330111200 has 144 divisors (see below), whose sum is σ = 4723197696. Its totient is φ = 322444800.

The previous prime is 1330111199. The next prime is 1330111213. The reversal of 1330111200 is 21110331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209 + ... + 51591.

It is an arithmetic number, because the mean of its divisors is an integer number (32799984).

Almost surely, 21330111200 is an apocalyptic number.

1330111200 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 1330111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361598848).

1330111200 is an abundant number, since it is smaller than the sum of its proper divisors (3393086496).

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

1330111200 is a wasteful number, since it uses less digits than its factorization.

1330111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50417 (or 50404 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1330111200 is about 36470.6896013772. The cubic root of 1330111200 is about 1099.7550969942.

Adding to 1330111200 its reverse (21110331), we get a palindrome (1351221531).

The spelling of 1330111200 in words is "one billion, three hundred thirty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 50383 100766 151149 201532 251915 302298 403064 503830 554213 604596 755745 806128 1007660 1108426 1209192 1259575 1511490 1612256 1662639 2015320 2216852 2418384 2519150 2771065 3022980 3325278 3778725 4030640 4433704 4836768 5038300 5542130 6045960 6650556 7557450 8061280 8313195 8867408 10076600 11084260 12091920 13301112 13855325 15114900 16626390 17734816 20153200 22168520 24183840 26602224 27710650 30229800 33252780 40306400 41565975 44337040 53204448 55421300 60459600 66505560 83131950 88674080 110842600 120919200 133011120 166263900 221685200 266022240 332527800 443370400 665055600 1330111200