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300103330320 = 24335138936727
BaseRepresentation
bin1000101110111111000…
…11010110101000010000
31001200121201100202022000
410113133203112220100
514404102423032240
6345510543514000
730452561135043
oct4273743265020
91050551322260
10300103330320
11106300562962
124a1b3bb8900
13223b836a201
141074cb5cc5a
157c167c0430
hex45df8d6a10

300103330320 has 80 divisors (see below), whose sum is σ = 1033689256320. Its totient is φ = 80027554176.

The previous prime is 300103330291. The next prime is 300103330349. The reversal of 300103330320 is 23033301003.

300103330320 is a `hidden beast` number, since 3 + 0 + 0 + 10 + 3 + 330 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (300103330291) and next prime (300103330349).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300103330293 and 300103330302.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69466204 + ... + 69470523.

It is an arithmetic number, because the mean of its divisors is an integer number (12921115704).

Almost surely, 2300103330320 is an apocalyptic number.

300103330320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300103330320 is an abundant number, since it is smaller than the sum of its proper divisors (733585926000).

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

300103330320 is a wasteful number, since it uses less digits than its factorization.

300103330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138936749 (or 138936737 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 300103330320 its reverse (23033301003), we get a palindrome (323136631323).

The spelling of 300103330320 in words is "three hundred billion, one hundred three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 138936727 277873454 416810181 555746908 694683635 833620362 1111493816 1250430543 1389367270 1667240724 2084050905 2222987632 2500861086 2778734540 3334481448 3751291629 4168101810 5001722172 5557469080 6252152715 6668962896 7502583258 8336203620 10003444344 11114938160 12504305430 15005166516 16672407240 18756458145 20006888688 25008610860 30010333032 33344814480 37512916290 50017221720 60020666064 75025832580 100034443440 150051665160 300103330320