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12232100220 = 22356713272293
BaseRepresentation
bin10110110010001011…
…10000100101111100
31011120110212001222220
423121011300211330
5200022404201340
65341440205340
7612060064524
oct133105604574
934513761886
1012232100220
115207779a3a
122454609850
1311cc27aa32
14840798684
154b8d1aed0
hex2d917097c

12232100220 has 96 divisors (see below), whose sum is σ = 34802439168. Its totient is φ = 3209386752.

The previous prime is 12232100173. The next prime is 12232100267. The reversal of 12232100220 is 2200123221.

It is a happy number.

12232100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12232100173) and next prime (12232100267).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12232100220.

It is a congruent number.

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, 5333394 + ... + 5335686.

It is an arithmetic number, because the mean of its divisors is an integer number (362525408).

Almost surely, 212232100220 is an apocalyptic number.

12232100220 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 12232100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401219584).

12232100220 is an abundant number, since it is smaller than the sum of its proper divisors (22570338948).

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

12232100220 is a wasteful number, since it uses less digits than its factorization.

12232100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12232100220 its reverse (2200123221), we get a palindrome (14432223441).

The spelling of 12232100220 in words is "twelve billion, two hundred thirty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1327 1340 2010 2293 2654 3981 4020 4586 5308 6635 6879 7962 9172 11465 13270 13758 15924 19905 22930 26540 27516 34395 39810 45860 68790 79620 88909 137580 153631 177818 266727 307262 355636 444545 460893 533454 614524 768155 889090 921786 1066908 1333635 1536310 1778180 1843572 2304465 2667270 3042811 3072620 4608930 5334540 6085622 9128433 9217860 12171244 15214055 18256866 30428110 36513732 45642165 60856220 91284330 182568660 203868337 407736674 611605011 815473348 1019341685 1223210022 2038683370 2446420044 3058025055 4077366740 6116050110 12232100220