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20123112320 = 275671134153
BaseRepresentation
bin10010101111011011…
…100101001110000000
31220221102012000121022
4102233123211032000
5312203004043240
613124444045012
71311445426643
oct225733451600
956842160538
1020123112320
118596a77143
123a97233768
131b8905136c
14d8c7b1a5a
157cb9889b5
hex4af6e5380

20123112320 has 128 divisors (see below), whose sum is σ = 49268766240. Its totient is φ = 7857045504.

The previous prime is 20123112311. The next prime is 20123112323. The reversal of 20123112320 is 2321132102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123112323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4843364 + ... + 4847516.

Almost surely, 220123112320 is an apocalyptic number.

20123112320 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 20123112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24634383120).

20123112320 is an abundant number, since it is smaller than the sum of its proper divisors (29145653920).

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

20123112320 is a wasteful number, since it uses less digits than its factorization.

20123112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20123112320 its reverse (2321132102), we get a palindrome (22444244422).

The spelling of 20123112320 in words is "twenty billion, one hundred twenty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 113 128 134 160 226 268 320 335 452 536 565 640 670 904 1072 1130 1340 1808 2144 2260 2680 3616 4153 4288 4520 5360 7232 7571 8306 8576 9040 10720 14464 15142 16612 18080 20765 21440 30284 33224 36160 37855 41530 42880 60568 66448 72320 75710 83060 121136 132896 151420 166120 242272 265792 278251 302840 332240 469289 484544 531584 556502 605680 664480 938578 969088 1113004 1211360 1328960 1391255 1877156 2226008 2346445 2422720 2657920 2782510 3754312 4452016 4692890 4845440 5565020 7508624 8904032 9385780 11130040 15017248 17808064 18771560 22260080 30034496 31442363 35616128 37543120 44520160 60068992 62884726 75086240 89040320 125769452 150172480 157211815 178080640 251538904 300344960 314423630 503077808 628847260 1006155616 1257694520 2012311232 2515389040 4024622464 5030778080 10061556160 20123112320