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20300300000 = 2555434721
BaseRepresentation
bin10010111001111111…
…011111111011100000
31221101202121002101222
4102321333133323200
5313033334100000
613154213514212
71316026463051
oct227177377340
957352532358
1020300300000
118677a98942
123b26642968
131bb697c146
14da8136728
157dc2d8a85
hex4b9fdfee0

20300300000 has 144 divisors (see below), whose sum is σ = 51127133904. Its totient is φ = 7929600000.

The previous prime is 20300299967. The next prime is 20300300071. The reversal of 20300300000 is 300302.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297640 + ... + 4302360.

It is an arithmetic number, because the mean of its divisors is an integer number (355049541).

Almost surely, 220300300000 is an apocalyptic number.

20300300000 is a gapful number since it is divisible by the number (20) 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 20300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25563566952).

20300300000 is an abundant number, since it is smaller than the sum of its proper divisors (30826833904).

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

20300300000 is an frugal number, since it uses more digits than its factorization.

20300300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

Adding to 20300300000 its reverse (300302), we get a palindrome (20300600302).

The spelling of 20300300000 in words is "twenty billion, three hundred million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3125 3440 4000 4300 4721 5000 5375 6250 6880 8600 9442 10000 10750 12500 17200 18884 20000 21500 23605 25000 26875 34400 37768 43000 47210 50000 53750 75536 86000 94420 100000 107500 118025 134375 151072 172000 188840 203003 215000 236050 268750 377680 406006 430000 472100 537500 590125 755360 812012 860000 944200 1015015 1075000 1180250 1624024 1888400 2030030 2150000 2360500 2950625 3248048 3776800 4060060 4300000 4721000 5075075 5901250 6496096 8120120 9442000 10150150 11802500 14753125 16240240 18884000 20300300 23605000 25375375 29506250 32480480 40600600 47210000 50750750 59012500 81201200 94420000 101501500 118025000 126876875 162402400 203003000 236050000 253753750 406006000 472100000 507507500 634384375 812012000 1015015000 1268768750 2030030000 2537537500 4060060000 5075075000 10150150000 20300300000