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303323130020 = 225173735414421
BaseRepresentation
bin1000110100111110111…
…01111010100010100100
31001222221002222112010202
410122133131322202210
514432201210130040
6351202243210032
730625426031141
oct4323735724244
91058832875122
10303323130020
11107702aaa049
124a952376918
13227ac44bc31
141097661d3c8
157d542d0015
hex469f77a8a4

303323130020 has 96 divisors (see below), whose sum is σ = 677659330656. Its totient is φ = 113649868800.

The previous prime is 303323130017. The next prime is 303323130029. The reversal of 303323130020 is 20031323303.

It can be written as a sum of positive squares in 16 ways, for example, as 8211259456 + 295111870564 = 90616^2 + 543242^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 303323129974 and 303323130001.

It is not an unprimeable number, because it can be changed into a prime (303323130029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68607410 + ... + 68611830.

It is an arithmetic number, because the mean of its divisors is an integer number (7058951361).

Almost surely, 2303323130020 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 303323130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338829665328).

303323130020 is an abundant number, since it is smaller than the sum of its proper divisors (374336200636).

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

303323130020 is a wasteful number, since it uses less digits than its factorization.

303323130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 303323130020 its reverse (20031323303), we get a palindrome (323354453323).

The spelling of 303323130020 in words is "three hundred three billion, three hundred twenty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 373 541 746 1082 1492 1865 2164 2705 3730 4421 5410 6341 7460 8842 9197 10820 12682 17684 18394 22105 25364 31705 36788 44210 45985 63410 75157 88420 91970 126820 150314 183940 201793 300628 375785 403586 751570 807172 1008965 1503140 1649033 2017930 2391761 3298066 3430481 4035860 4783522 6596132 6860962 8245165 9567044 11958805 13721924 16490330 17152405 23917610 28033561 32980660 34304810 40659937 47835220 56067122 68609620 81319874 112134244 140167805 162639748 203299685 280335610 406599370 560671220 813198740 892126853 1784253706 3568507412 4460634265 8921268530 15166156501 17842537060 30332313002 60664626004 75830782505 151661565010 303323130020