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30001131300 = 22352776118773
BaseRepresentation
bin11011111100001101…
…001110111100100100
32212102211102101020010
4123330031032330210
5442420242200200
621440552210220
72111312260050
oct337415167444
985384371203
1030001131300
11117a5946a98
125993399970
132aa169ccca
141648660c60
15ba8c9e150
hex6fc34ef24

30001131300 has 144 divisors (see below), whose sum is σ = 99339391872. Its totient is φ = 6848025600.

The previous prime is 30001131289. The next prime is 30001131337. The reversal of 30001131300 is 313110003.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1588714 + ... + 1607486.

It is an arithmetic number, because the mean of its divisors is an integer number (689856888).

Almost surely, 230001131300 is an apocalyptic number.

30001131300 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 30001131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49669695936).

30001131300 is an abundant number, since it is smaller than the sum of its proper divisors (69338260572).

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

30001131300 is a wasteful number, since it uses less digits than its factorization.

30001131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19558 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 30001131300 its reverse (313110003), we get a palindrome (30314241303).

The spelling of 30001131300 in words is "thirty billion, one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 761 1050 1522 2100 2283 3044 3805 4566 5327 7610 9132 10654 11415 15220 15981 18773 19025 21308 22830 26635 31962 37546 38050 45660 53270 56319 57075 63924 75092 76100 79905 93865 106540 112638 114150 131411 133175 159810 187730 225276 228300 262822 266350 281595 319620 375460 394233 399525 469325 525644 532700 563190 657055 788466 799050 938650 1126380 1314110 1407975 1576932 1598100 1877300 1971165 2628220 2815950 3285275 3942330 5631900 6570550 7884660 9855825 13141100 14286253 19711650 28572506 39423300 42858759 57145012 71431265 85717518 100003771 142862530 171435036 200007542 214293795 285725060 300011313 357156325 400015084 428587590 500018855 600022626 714312650 857175180 1000037710 1071468975 1200045252 1428625300 1500056565 2000075420 2142937950 2500094275 3000113130 4285875900 5000188550 6000226260 7500282825 10000377100 15000565650 30001131300