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130013233011300 = 223521732505071927
BaseRepresentation
bin11101100011111100010000…
…100100011101101001100100
3122001100010212202020220122110
4131203330100210131221210
5114020114100122330200
61140303131003201020
736246101054353362
oct3543742044355144
9561303782226573
10130013233011300
1138476336662501
12126b9528816170
13577126cccb9a2
142416961860632
151006e211c5b50
hex763f1091da64

130013233011300 has 72 divisors (see below), whose sum is σ = 378346023429696. Its totient is φ = 34469789701760.

The previous prime is 130013233011253. The next prime is 130013233011391. The reversal of 130013233011300 is 3110332310031.

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 23 ways as a sum of consecutive naturals, for example, 1252484064 + ... + 1252587863.

It is an arithmetic number, because the mean of its divisors is an integer number (5254805880968).

Almost surely, 2130013233011300 is an apocalyptic number.

130013233011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013233011300 is an abundant number, since it is smaller than the sum of its proper divisors (248332790418396).

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

130013233011300 is a wasteful number, since it uses less digits than its factorization.

130013233011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505072117 (or 2505072110 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 130013233011300 its reverse (3110332310031), we get a palindrome (133123565321331).

The spelling of 130013233011300 in words is "one hundred thirty trillion, thirteen billion, two hundred thirty-three million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 2505071927 5010143854 7515215781 10020287708 12525359635 15030431562 25050719270 30060863124 37576078905 50101438540 62626798175 75152157810 125253596350 150304315620 187880394525 250507192700 375760789050 433377443371 751521578100 866754886742 1300132330113 1733509773484 2166887216855 2600264660226 4333774433710 5200529320452 6500661650565 8667548867420 10834436084275 13001323301130 21668872168550 26002646602260 32503308252825 43337744337100 65006616505650 130013233011300