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10014443323300 = 22521330817249973
BaseRepresentation
bin1001000110111010101101…
…0101100011111110100100
31022110101000202220002122101
42101232223111203332210
52303034034442321200
633144323255341444
72052343145513503
oct221565325437644
938411022802571
1010014443323300
1132111131a8649
121158a48981884
13578486567080
142689b744683a
15125772e4626a
hex91bab563fa4

10014443323300 has 72 divisors (see below), whose sum is σ = 23403836747816. Its totient is φ = 3697505832960.

The previous prime is 10014443323289. The next prime is 10014443323319. The reversal of 10014443323300 is 332334441001.

It can be written as a sum of positive squares in 12 ways, for example, as 6711042562624 + 3303400760676 = 2590568^2 + 1817526^2 .

It is a super-3 number, since 3×100144433233003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39937114 + ... + 40187086.

Almost surely, 210014443323300 is an apocalyptic number.

10014443323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014443323300 is an abundant number, since it is smaller than the sum of its proper divisors (13389393424516).

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

10014443323300 is a wasteful number, since it uses less digits than its factorization.

10014443323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280817 (or 280810 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10014443323300 its reverse (332334441001), we get a palindrome (10346777764301).

The spelling of 10014443323300 in words is "ten trillion, fourteen billion, four hundred forty-three million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 30817 61634 123268 154085 249973 308170 400621 499946 616340 770425 801242 999892 1249865 1540850 1602484 2003105 2499730 3081700 3249649 4006210 4999460 6249325 6499298 8012420 10015525 12498650 12998596 16248245 20031050 24997300 32496490 40062100 64992980 81241225 162482450 324964900 7703417941 15406835882 30813671764 38517089705 77034179410 100144433233 154068358820 192585448525 200288866466 385170897050 400577732932 500722166165 770341794100 1001444332330 2002888664660 2503610830825 5007221661650 10014443323300