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20331320200 = 23524389101263
BaseRepresentation
bin10010111011110101…
…110101001110001000
31221110220222002010021
4102323311311032020
5313114304221300
613201242430224
71316554241002
oct227365651610
957426862107
1020331320200
118693555874
123b34b02374
131bc02205a9
14dac2cd372
157dedb4d1a
hex4bbd75388

20331320200 has 192 divisors, whose sum is σ = 49585219200. Its totient is φ = 7746816000.

The previous prime is 20331320197. The next prime is 20331320231. The reversal of 20331320200 is 202313302.

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, 77305269 + ... + 77305531.

It is an arithmetic number, because the mean of its divisors is an integer number (258256350).

Almost surely, 220331320200 is an apocalyptic number.

20331320200 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 20331320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24792609600).

20331320200 is an abundant number, since it is smaller than the sum of its proper divisors (29253899000).

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

20331320200 is a wasteful number, since it uses less digits than its factorization.

20331320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20331320200 its reverse (202313302), we get a palindrome (20533633502).

The spelling of 20331320200 in words is "twenty billion, three hundred thirty-one million, three hundred twenty thousand, two hundred".