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20123303200 = 25527111321933
BaseRepresentation
bin10010101111011100…
…010011110100100000
31220221102112201102221
4102233130103310200
5312203031200300
613124452120424
71311450153310
oct225734236440
956842481387
1020123303200
1185970975a0
123a97306114
131b890ba200
14d8c821440
157cb9c531a
hex4af713d20

20123303200 has 432 divisors, whose sum is σ = 66356127936. Its totient is φ = 5786726400.

The previous prime is 20123303197. The next prime is 20123303227. The reversal of 20123303200 is 230332102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10409434 + ... + 10411366.

It is an arithmetic number, because the mean of its divisors is an integer number (153602148).

Almost surely, 220123303200 is an apocalyptic number.

20123303200 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 20123303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33178063968).

20123303200 is an abundant number, since it is smaller than the sum of its proper divisors (46232824736).

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

20123303200 is a wasteful number, since it uses less digits than its factorization.

20123303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1971 counting only the distinct ones).

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

Adding to 20123303200 its reverse (230332102), we get a palindrome (20353635302).

It can be divided in two parts, 20123 and 303200, that added together give a palindrome (323323).

The spelling of 20123303200 in words is "twenty billion, one hundred twenty-three million, three hundred three thousand, two hundred".