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20123332320 = 25357131732663
BaseRepresentation
bin10010101111011100…
…011010111011100000
31220221102121012101110
4102233130122323200
5312203033113240
613124452503320
71311450334230
oct225734327340
956842535343
1020123332320
118597107463
123a9731ab40
131b890ca540
14d8c82bcc0
157cb9cdc80
hex4af71aee0

20123332320 has 384 divisors, whose sum is σ = 78497040384. Its totient is φ = 4219674624.

The previous prime is 20123332309. The next prime is 20123332337. The reversal of 20123332320 is 2323332102.

It is a super-2 number, since 2×201233323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 7555309 + ... + 7557971.

It is an arithmetic number, because the mean of its divisors is an integer number (204419376).

Almost surely, 220123332320 is an apocalyptic number.

20123332320 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 20123332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39248520192).

20123332320 is an abundant number, since it is smaller than the sum of its proper divisors (58373708064).

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

20123332320 is a wasteful number, since it uses less digits than its factorization.

20123332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20123332320 its reverse (2323332102), we get a palindrome (22446664422).

The spelling of 20123332320 in words is "twenty billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".