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20320201310112 = 2532116414204959
BaseRepresentation
bin1001001111011001010100…
…11000010111111110100000
32122221120222202201102012200
410213230222120113332200
510130411233013410422
6111114545511253200
74165041350163144
oct447545230277640
978846882642180
1020320201310112
116524826990650
12234223637a200
13b45257412982
145037082c9224
15253895cc82ac
hex127b2a617fa0

20320201310112 has 72 divisors (see below), whose sum is σ = 63038806346880. Its totient is φ = 6157636759680.

The previous prime is 20320201310051. The next prime is 20320201310119. The reversal of 20320201310112 is 21101310202302.

20320201310112 is a `hidden beast` number, since 2 + 0 + 320 + 20 + 1 + 310 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20320201310119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3207099312 + ... + 3207105647.

It is an arithmetic number, because the mean of its divisors is an integer number (875538977040).

Almost surely, 220320201310112 is an apocalyptic number.

20320201310112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20320201310112 is an abundant number, since it is smaller than the sum of its proper divisors (42718605036768).

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

20320201310112 is a wasteful number, since it uses less digits than its factorization.

20320201310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414204986 (or 6414204975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20320201310112 its reverse (21101310202302), we get a palindrome (41421511512414).

The spelling of 20320201310112 in words is "twenty trillion, three hundred twenty billion, two hundred one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6414204959 12828409918 19242614877 25656819836 38485229754 51313639672 57727844631 70556254549 76970459508 102627279344 115455689262 141112509098 153940919016 205254558688 211668763647 230911378524 282225018196 307881838032 423337527294 461822757048 564450036392 615763676064 635006290941 846675054588 923645514096 1128900072784 1270012581882 1693350109176 1847291028192 2257800145568 2540025163764 3386700218352 5080050327528 6773400436704 10160100655056 20320201310112