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10011333130300 = 225297219754011
BaseRepresentation
bin1001000110101111000111…
…1101000111100000111100
31022110002000000111220221001
42101223301331013200330
52303011202240132200
633143050513220044
72052203111353435
oct221536175074074
938402000456831
1010011333130300
11320a867614607
12115831b261624
135780ac0b0698
142687a035848c
1512563ed8776a
hex91af1f4783c

10011333130300 has 108 divisors (see below), whose sum is σ = 22062700881144. Its totient is φ = 3943058380800.

The previous prime is 10011333130283. The next prime is 10011333130391. The reversal of 10011333130300 is 303133311001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 185330295 + ... + 185384305.

It is an arithmetic number, because the mean of its divisors is an integer number (204284267418).

Almost surely, 210011333130300 is an apocalyptic number.

10011333130300 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 10011333130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031350440572).

10011333130300 is an abundant number, since it is smaller than the sum of its proper divisors (12051367750844).

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

10011333130300 is a wasteful number, since it uses less digits than its factorization.

10011333130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54416 (or 54312 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10011333130300 its reverse (303133311001), we get a palindrome (10314466441301).

The spelling of 10011333130300 in words is "ten trillion, eleven billion, three hundred thirty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 197 388 394 485 788 970 985 1940 1970 2425 3940 4850 4925 9409 9700 9850 18818 19109 19700 37636 38218 47045 54011 76436 94090 95545 108022 188180 191090 216044 235225 270055 382180 470450 477725 540110 940900 955450 1080220 1350275 1853573 1910900 2700550 3707146 5239067 5401100 7414292 9267865 10478134 10640167 18535730 20956268 21280334 26195335 37071460 42560668 46339325 52390670 53200835 92678650 104781340 106401670 130976675 185357300 212803340 261953350 266004175 508189499 523906700 532008350 1016378998 1032096199 1064016700 2032757996 2064192398 2540947495 4128384796 5081894990 5160480995 10163789980 10320961990 12704737475 20641923980 25409474950 25802404975 50818949900 51604809950 100113331303 103209619900 200226662606 400453325212 500566656515 1001133313030 2002266626060 2502833282575 5005666565150 10011333130300