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20300412300 = 22352717718009
BaseRepresentation
bin10010111001111111…
…111011010110001100
31221101202210210110020
4102321333323112030
5313033401143200
613154220142140
71316030441340
oct227177732614
957352723406
1020300412300
118678065253
123b26697950
131bb69bb2ac
14da8165620
157dc30bea0
hex4b9ffb58c

20300412300 has 288 divisors, whose sum is σ = 72085386240. Its totient is φ = 4305100800.

The previous prime is 20300412259. The next prime is 20300412331. The reversal of 20300412300 is 321400302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20300412300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2530696 + ... + 2538704.

It is an arithmetic number, because the mean of its divisors is an integer number (250296480).

Almost surely, 220300412300 is an apocalyptic number.

20300412300 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 20300412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36042693120).

20300412300 is an abundant number, since it is smaller than the sum of its proper divisors (51784973940).

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

20300412300 is a wasteful number, since it uses less digits than its factorization.

20300412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20300412300 its reverse (321400302), we get a palindrome (20621812602).

The spelling of 20300412300 in words is "twenty billion, three hundred million, four hundred twelve thousand, three hundred".