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12200244100 = 22521119357467
BaseRepresentation
bin10110101110011000…
…01111001110000100
31011111020220121121121
423113030033032010
5144441230302400
65334341323324
7611222235532
oct132714171604
934436817547
1012200244100
1151a07a0a70
122445a06544
1311c57a5c65
1483a465152
154b612721a
hex2d730f384

12200244100 has 72 divisors (see below), whose sum is σ = 29031454368. Its totient is φ = 4413388800.

The previous prime is 12200244083. The next prime is 12200244127. The reversal of 12200244100 is 144200221.

12200244100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 183567 + ... + 241033.

It is an arithmetic number, because the mean of its divisors is an integer number (403214644).

Almost surely, 212200244100 is an apocalyptic number.

12200244100 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 12200244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515727184).

12200244100 is an abundant number, since it is smaller than the sum of its proper divisors (16831210268).

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

12200244100 is a wasteful number, since it uses less digits than its factorization.

12200244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57685 (or 57678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200244100 its reverse (144200221), we get a palindrome (12344444321).

The spelling of 12200244100 in words is "twelve billion, two hundred million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1100 1930 2123 3860 4246 4825 8492 9650 10615 19300 21230 42460 53075 57467 106150 114934 212300 229868 287335 574670 632137 1149340 1264274 1436675 2528548 2873350 3160685 5746700 6321370 11091131 12642740 15803425 22182262 31606850 44364524 55455655 63213700 110911310 122002441 221822620 244004882 277278275 488009764 554556550 610012205 1109113100 1220024410 2440048820 3050061025 6100122050 12200244100