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20300010200 = 235241101127193
BaseRepresentation
bin10010111001111110…
…011001001011011000
31221101202001100212122
4102321332121023120
5313033300311300
613154203400412
71316024145131
oct227176311330
957352040778
1020300010200
118677910138
123b26523108
131bb68aa272
14da809cc88
157dc27cc85
hex4b9f992d8

20300010200 has 192 divisors, whose sum is σ = 49466833920. Its totient is φ = 7741440000.

The previous prime is 20300010193. The next prime is 20300010239. The reversal of 20300010200 is 201000302.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105181304 + ... + 105181496.

It is an arithmetic number, because the mean of its divisors is an integer number (257639760).

Almost surely, 220300010200 is an apocalyptic number.

20300010200 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 20300010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24733416960).

20300010200 is an abundant number, since it is smaller than the sum of its proper divisors (29166823720).

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

20300010200 is a wasteful number, since it uses less digits than its factorization.

20300010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20300010200 its reverse (201000302), we get a palindrome (20501010502).

The spelling of 20300010200 in words is "twenty billion, three hundred million, ten thousand, two hundred".