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11013231103300 = 2252891493828829
BaseRepresentation
bin1010000001000011011110…
…1110100100110101000100
31102222212002000022100220101
42200100313232210311010
52420420044130301200
635231224124013444
72214452063540446
oct240206756446504
942885060270811
1011013231103300
113566759930728
12129a530991284
1361b70a65026a
142a108689c496
1514172d05b26a
hexa0437ba4d44

11013231103300 has 72 divisors (see below), whose sum is σ = 24183452550600. Its totient is φ = 4352872043520.

The previous prime is 11013231103267. The next prime is 11013231103313. The reversal of 11013231103300 is 330113231011.

It can be written as a sum of positive squares in 12 ways, for example, as 176480649216 + 10836750454084 = 420096^2 + 3291922^2 .

It is an unprimeable number.

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, 12873286 + ... + 13702114.

It is an arithmetic number, because the mean of its divisors is an integer number (335881285425).

Almost surely, 211013231103300 is an apocalyptic number.

11013231103300 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 11013231103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091726275300).

11013231103300 is an abundant number, since it is smaller than the sum of its proper divisors (13170221447300).

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

11013231103300 is a wasteful number, since it uses less digits than its factorization.

11013231103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830425 (or 830418 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11013231103300 its reverse (330113231011), we get a palindrome (11343344334311).

The spelling of 11013231103300 in words is "eleven trillion, thirteen billion, two hundred thirty-one million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1493 1780 2225 2986 4450 5972 7465 8900 14930 29860 37325 74650 132877 149300 265754 531508 664385 828829 1328770 1657658 2657540 3315316 3321925 4144145 6643850 8288290 13287700 16576580 20720725 41441450 73765781 82882900 147531562 295063124 368828905 737657810 1237441697 1475315620 1844144525 2474883394 3688289050 4949766788 6187208485 7376578100 12374416970 24748833940 30936042425 61872084850 110132311033 123744169700 220264622066 440529244132 550661555165 1101323110330 2202646220660 2753307775825 5506615551650 11013231103300