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30001303300 = 225229100910253
BaseRepresentation
bin11011111100001101…
…111000111100000100
32212102211202010011111
4123330031320330010
5442420313201200
621441000014404
72111313604363
oct337415707404
985384663144
1030001303300
11117a5a54241
125993461404
132aa1730397
1416486a77da
15ba8cd50ba
hex6fc378f04

30001303300 has 72 divisors (see below), whose sum is σ = 67421075400. Its totient is φ = 11574097920.

The previous prime is 30001303253. The next prime is 30001303301. The reversal of 30001303300 is 330310003.

It can be written as a sum of positive squares in 12 ways, for example, as 16597684224 + 13403619076 = 128832^2 + 115774^2 .

It is not an unprimeable number, because it can be changed into a prime (30001303301) by changing a digit.

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, 2920974 + ... + 2931226.

It is an arithmetic number, because the mean of its divisors is an integer number (936403825).

Almost surely, 230001303300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710537700).

30001303300 is an abundant number, since it is smaller than the sum of its proper divisors (37419772100).

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

30001303300 is a wasteful number, since it uses less digits than its factorization.

30001303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 30001303300 its reverse (330310003), we get a palindrome (30331613303).

The spelling of 30001303300 in words is "thirty billion, one million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1009 1450 2018 2900 4036 5045 10090 10253 20180 20506 25225 29261 41012 50450 51265 58522 100900 102530 117044 146305 205060 256325 292610 297337 512650 585220 594674 731525 1025300 1189348 1463050 1486685 2926100 2973370 5946740 7433425 10345277 14866850 20690554 29733700 41381108 51726385 103452770 206905540 258631925 300013033 517263850 600026066 1034527700 1200052132 1500065165 3000130330 6000260660 7500325825 15000651650 30001303300