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12044101300 = 22527113894021
BaseRepresentation
bin10110011011110001…
…00110011010110100
31011002101002201221221
423031320212122310
5144131242220200
65311042520124
7604315112650
oct131570463264
934071081857
1012044101300
115120643630
122401666044
13119c33607a
1482381ba60
154a758291a
hex2cde266b4

12044101300 has 144 divisors (see below), whose sum is σ = 32676658560. Its totient is φ = 3743424000.

The previous prime is 12044101283. The next prime is 12044101313. The reversal of 12044101300 is 310144021.

It is a super-2 number, since 2×120441013002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993290 + ... + 2997310.

It is an arithmetic number, because the mean of its divisors is an integer number (226921240).

Almost surely, 212044101300 is an apocalyptic number.

12044101300 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 12044101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338329280).

12044101300 is an abundant number, since it is smaller than the sum of its proper divisors (20632557260).

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

12044101300 is a wasteful number, since it uses less digits than its factorization.

12044101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12044101300 its reverse (310144021), we get a palindrome (12354245321).

The spelling of 12044101300 in words is "twelve billion, forty-four million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 389 550 700 770 778 1100 1540 1556 1925 1945 2723 3850 3890 4021 4279 5446 7700 7780 8042 8558 9725 10892 13615 16084 17116 19450 20105 21395 27230 28147 29953 38900 40210 42790 44231 54460 56294 59906 68075 80420 85580 88462 100525 106975 112588 119812 136150 140735 149765 176924 201050 213950 221155 272300 281470 299530 309617 402100 427900 442310 562940 599060 619234 703675 748825 884620 1105775 1238468 1407350 1497650 1548085 1564169 2211550 2814700 2995300 3096170 3128338 4423100 6192340 6256676 7740425 7820845 10949183 15480850 15641690 17205859 21898366 30961700 31283380 34411718 39104225 43796732 54745915 68823436 78208450 86029295 109491830 120441013 156416900 172058590 218983660 240882026 273729575 344117180 430146475 481764052 547459150 602205065 860292950 1094918300 1204410130 1720585900 2408820260 3011025325 6022050650 12044101300