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303121121340 = 223529400143541
BaseRepresentation
bin1000110100100110110…
…11010100000000111100
31001222102000212102022210
410122103123110000330
514431243001340330
6351130225340420
730620424006432
oct4322333240074
91058360772283
10303121121340
11107609a74a24
124a8b6797710
132277964057b
1410957876d52
157d416ca8b0
hex46936d403c

303121121340 has 96 divisors (see below), whose sum is σ = 878245623360. Its totient is φ = 78023680000.

The previous prime is 303121121339. The next prime is 303121121353. The reversal of 303121121340 is 43121121303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6939970 + ... + 6983510.

It is an arithmetic number, because the mean of its divisors is an integer number (9148391910).

Almost surely, 2303121121340 is an apocalyptic number.

303121121340 is a gapful number since it is divisible by the number (30) 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 303121121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439122811680).

303121121340 is an abundant number, since it is smaller than the sum of its proper divisors (575124502020).

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

303121121340 is a wasteful number, since it uses less digits than its factorization.

303121121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47583 (or 47581 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 303121121340 its reverse (43121121303), we get a palindrome (346242242643).

The spelling of 303121121340 in words is "three hundred three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 4001 8002 12003 16004 20005 24006 40010 43541 48012 60015 80020 87082 116029 120030 130623 174164 217705 232058 240060 261246 348087 435410 464116 522492 580145 653115 696174 870820 1160290 1262689 1306230 1392348 1740435 2320580 2525378 2612460 3480870 3788067 5050756 6313445 6961740 7576134 12626890 15152268 18940335 25253780 37880670 75761340 174207541 348415082 522622623 696830164 871037705 1045245246 1742075410 2090490492 2613113115 3484150820 5052018689 5226226230 10104037378 10452452460 15156056067 20208074756 25260093445 30312112134 50520186890 60624224268 75780280335 101040373780 151560560670 303121121340