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30363424300 = 225211318571039
BaseRepresentation
bin11100010001110011…
…010001011000101100
32220101002010202210101
4130101303101120230
5444141014034200
621540533320444
72123301563626
oct342163213054
986332122711
1030363424300
11119713a80a0
125a74796124
132b2b76b671
14168080bc16
15bca9b526a
hex711cd162c

30363424300 has 144 divisors (see below), whose sum is σ = 74355240960. Its totient is φ = 10662336000.

The previous prime is 30363424291. The next prime is 30363424313. The reversal of 30363424300 is 342436303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29223181 + ... + 29224219.

It is an arithmetic number, because the mean of its divisors is an integer number (516355840).

Almost surely, 230363424300 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 30363424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37177620480).

30363424300 is an abundant number, since it is smaller than the sum of its proper divisors (43991816660).

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

30363424300 is a wasteful number, since it uses less digits than its factorization.

30363424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

The spelling of 30363424300 in words is "thirty billion, three hundred sixty-three million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 857 1039 1100 1364 1550 1705 1714 2078 3100 3410 3428 4156 4285 5195 6820 8525 8570 9427 10390 11429 17050 17140 18854 20780 21425 22858 25975 26567 32209 34100 37708 42850 45716 47135 51950 53134 57145 64418 85700 94270 103900 106268 114290 128836 132835 161045 188540 228580 235675 265670 285725 292237 322090 354299 471350 531340 571450 584474 644180 664175 708598 805225 890423 942700 1142900 1168948 1328350 1417196 1461185 1610450 1771495 1780846 2656700 2922370 3220900 3542990 3561692 4452115 5844740 7085980 7305925 8857475 8904230 9794653 14611850 17714950 17808460 19589306 22260575 27603113 29223700 35429900 39178612 44521150 48973265 55206226 89042300 97946530 110412452 138015565 195893060 244866325 276031130 303634243 489732650 552062260 607268486 690077825 979465300 1214536972 1380155650 1518171215 2760311300 3036342430 6072684860 7590856075 15181712150 30363424300