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3120422020200 = 23325212831351183
BaseRepresentation
bin101101011010000111101…
…001010110010001101000
3102001022100120112201211100
4231122013221112101220
5402111111014121300
610345300241201400
7441304652353062
oct55320751262150
912038316481740
103120422020200
11aa33aa976921
12424913030260
13198340298664
14ab05a2d6732
15562817ac700
hex2d687a56468

3120422020200 has 144 divisors (see below), whose sum is σ = 10487592947520. Its totient is φ = 831463355520.

The previous prime is 3120422020189. The next prime is 3120422020213. The reversal of 3120422020200 is 20202240213.

3120422020200 is a `hidden beast` number, since 3 + 1 + 20 + 422 + 0 + 20 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1633809 + ... + 2984991.

It is an arithmetic number, because the mean of its divisors is an integer number (72830506580).

Almost surely, 23120422020200 is an apocalyptic number.

3120422020200 is a gapful number since it is divisible by the number (30) 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 3120422020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243796473760).

3120422020200 is an abundant number, since it is smaller than the sum of its proper divisors (7367170927320).

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

3120422020200 is a wasteful number, since it uses less digits than its factorization.

3120422020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352488 (or 1352476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3120422020200 its reverse (20202240213), we get a palindrome (3140624260413).

The spelling of 3120422020200 in words is "three trillion, one hundred twenty billion, four hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1283 1800 2566 3849 5132 6415 7698 10264 11547 12830 15396 19245 23094 25660 30792 32075 38490 46188 51320 57735 64150 76980 92376 96225 115470 128300 153960 192450 230940 256600 288675 384900 461880 577350 769800 1154700 1351183 2309400 2702366 4053549 5404732 6755915 8107098 10809464 12160647 13511830 16214196 20267745 24321294 27023660 32428392 33779575 40535490 48642588 54047320 60803235 67559150 81070980 97285176 101338725 121606470 135118300 162141960 202677450 243212940 270236600 304016175 405354900 486425880 608032350 810709800 1216064700 1733567789 2432129400 3467135578 5200703367 6934271156 8667838945 10401406734 13868542312 15602110101 17335677890 20802813468 26003516835 31204220202 34671355780 41605626936 43339194725 52007033670 62408440404 69342711560 78010550505 86678389450 104014067340 124816880808 130017584175 156021101010 173356778900 208028134680 260035168350 312042202020 346713557800 390052752525 520070336700 624084404040 780105505050 1040140673400 1560211010100 3120422020200