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1330100200 = 2352111346507
BaseRepresentation
bin100111101000111…
…1011011111101000
310102200211002110101
41033101323133220
510211001201300
6335552355144
744650444102
oct11721733750
93380732411
101330100200
11622896a70
12311545ab4
13182746750
14c8918572
157bb88b6a
hex4f47b7e8

1330100200 has 96 divisors (see below), whose sum is σ = 3633204960. Its totient is φ = 446457600.

The previous prime is 1330100197. The next prime is 1330100251. The reversal of 1330100200 is 20010331.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5347 + ... + 51853.

It is an arithmetic number, because the mean of its divisors is an integer number (37845885).

Almost surely, 21330100200 is an apocalyptic number.

1330100200 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 1330100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816602480).

1330100200 is an abundant number, since it is smaller than the sum of its proper divisors (2303104760).

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

1330100200 is a wasteful number, since it uses less digits than its factorization.

1330100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46547 (or 46538 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1330100200 is about 36470.5387950329. The cubic root of 1330100200 is about 1099.7520653330.

Adding to 1330100200 its reverse (20010331), we get a palindrome (1350110531).

The spelling of 1330100200 in words is "one billion, three hundred thirty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 46507 93014 186028 232535 372056 465070 511577 604591 930140 1023154 1162675 1209182 1860280 2046308 2325350 2418364 2557885 3022955 4092616 4650700 4836728 5115770 6045910 6650501 9301400 10231540 12091820 12789425 13301002 15114775 20463080 24183640 25578850 26602004 30229550 33252505 51157700 53204008 60459100 66505010 102315400 120918200 133010020 166262525 266020040 332525050 665050100 1330100200