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213330221100 = 22335279011193
BaseRepresentation
bin1100011010101101111…
…0001101100000101100
3202101122100110002011000
43012223132031200230
511443400014033400
6242000315000300
721261343650243
oct3065336154054
9671570402130
10213330221100
1182522391657
1235417a39090
1317169c40479
14a47a64995a
1558388a4600
hex31ab78d82c

213330221100 has 72 divisors (see below), whose sum is σ = 685817163920. Its totient is φ = 56888058240.

The previous prime is 213330221077. The next prime is 213330221101. The reversal of 213330221100 is 1122033312.

213330221100 is a `hidden beast` number, since 2 + 13 + 330 + 221 + 100 = 666.

213330221100 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 (18).

It is not an unprimeable number, because it can be changed into a prime (213330221101) by changing a digit.

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, 39502897 + ... + 39508296.

Almost surely, 2213330221100 is an apocalyptic number.

213330221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213330221100 is an abundant number, since it is smaller than the sum of its proper divisors (472486942820).

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

213330221100 is a wasteful number, since it uses less digits than its factorization.

213330221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79011216 (or 79011203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213330221100 its reverse (1122033312), we get a palindrome (214452254412).

The spelling of 213330221100 in words is "two hundred thirteen billion, three hundred thirty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 79011193 158022386 237033579 316044772 395055965 474067158 711100737 790111930 948134316 1185167895 1422201474 1580223860 1975279825 2133302211 2370335790 2844402948 3555503685 3950559650 4266604422 4740671580 5925839475 7111007370 7901119300 8533208844 10666511055 11851678950 14222014740 17777518425 21333022110 23703357900 35555036850 42666044220 53332555275 71110073700 106665110550 213330221100