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12043210116 = 22371921313541
BaseRepresentation
bin10110011011101010…
…01100110110000100
31011002022102110111010
423031311030312010
5144131030210431
65311011442220
7604304411520
oct131565146604
934068373433
1012043210116
115120095013
1224012b6370
13119c0b3542
14823668d80
154a7458846
hex2cdd4cd84

12043210116 has 96 divisors (see below), whose sum is σ = 33830917120. Its totient is φ = 3257366400.

The previous prime is 12043210093. The next prime is 12043210133. The reversal of 12043210116 is 61101234021.

12043210116 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 12043210092 and 12043210101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399306 + ... + 3402846.

Almost surely, 212043210116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12043210116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915458560).

12043210116 is an abundant number, since it is smaller than the sum of its proper divisors (21787707004).

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

12043210116 is a wasteful number, since it uses less digits than its factorization.

12043210116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12043210116 its reverse (61101234021), we get a palindrome (73144444137).

The spelling of 12043210116 in words is "twelve billion, forty-three million, two hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2131 3541 4262 6393 7082 8524 10623 12786 14164 14917 21246 24787 25572 29834 40489 42492 44751 49574 59668 67279 74361 80978 89502 99148 121467 134558 148722 161956 179004 201837 242934 269116 283423 297444 403674 470953 485868 566846 807348 850269 941906 1133692 1412859 1700538 1883812 2825718 3401076 5651436 7545871 15091742 22637613 30183484 45275226 52821097 90550452 105642194 143371549 158463291 211284388 286743098 316926582 430114647 573486196 633853164 860229294 1003600843 1720458588 2007201686 3010802529 4014403372 6021605058 12043210116