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1041323430330 = 2325139308926947
BaseRepresentation
bin11110010011100111011…
…01101001000110111010
310200112211121202012002200
433021303231221012322
5114030112244232310
62114213303011030
7135142652054211
oct17116355510672
93615747665080
101041323430330
11371693a24807
12149995139a76
137727259a971
14385866b4078
151c14951a9c0
hexf273b691ba

1041323430330 has 96 divisors (see below), whose sum is σ = 2727902923200. Its totient is φ = 275589029376.

The previous prime is 1041323430299. The next prime is 1041323430331. The reversal of 1041323430330 is 330343231401.

1041323430330 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 323 + 4 + 3 + 0 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1041323430294 and 1041323430303.

It is not an unprimeable number, because it can be changed into a prime (1041323430331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38629917 + ... + 38656863.

It is an arithmetic number, because the mean of its divisors is an integer number (28415655450).

Almost surely, 21041323430330 is an apocalyptic number.

1041323430330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041323430330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363951461600).

1041323430330 is an abundant number, since it is smaller than the sum of its proper divisors (1686579492870).

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

1041323430330 is a wasteful number, since it uses less digits than its factorization.

1041323430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30188 (or 30185 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1041323430330 its reverse (330343231401), we get a palindrome (1371666661731).

The spelling of 1041323430330 in words is "one trillion, forty-one billion, three hundred twenty-three million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 3089 4170 6178 6255 9267 12510 15445 18534 26947 27801 30890 46335 53894 55602 80841 92670 134735 139005 161682 242523 269470 278010 404205 429371 485046 808410 858742 1212615 1288113 2146855 2425230 2576226 3745633 3864339 4293710 6440565 7491266 7728678 11236899 12881130 18728165 19321695 22473798 33710697 37456330 38643390 56184495 67421394 83239283 112368990 166478566 168553485 249717849 337106970 416196415 499435698 749153547 832392830 1248589245 1498307094 2497178490 3745767735 7491535470 11570260337 23140520674 34710781011 57851301685 69421562022 104132343033 115702603370 173553905055 208264686066 347107810110 520661715165 1041323430330