Search a number
-
+
321210130020120 = 233251127373969927
BaseRepresentation
bin100100100001000111000111…
…1101100101011011100011000
31120010022101111020112112200200
41021002032033230223130120
5314100201321241120440
63055053521400302200
7124441444314123255
oct11102161754533430
91503271436475620
10321210130020120
11933904a6513700
1230038812771960
1310a2cca68b56a3
14594692070842c
15272062c8c2c30
hex124238fb2b718

321210130020120 has 144 divisors (see below), whose sum is σ = 1147463460496080. Its totient is φ = 77869122418560.

The previous prime is 321210130020083. The next prime is 321210130020121. The reversal of 321210130020120 is 21020031012123.

321210130020120 is a `hidden beast` number, since 3 + 212 + 10 + 1 + 300 + 20 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 321210130020093 and 321210130020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321210130020121) 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 35 ways as a sum of consecutive naturals, for example, 3686941404 + ... + 3687028523.

It is an arithmetic number, because the mean of its divisors is an integer number (7968496253445).

Almost surely, 2321210130020120 is an apocalyptic number.

321210130020120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321210130020120 is an abundant number, since it is smaller than the sum of its proper divisors (826253330475960).

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

321210130020120 is a wasteful number, since it uses less digits than its factorization.

321210130020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373969966 (or 7373969948 counting only the distinct ones).

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

Adding to 321210130020120 its reverse (21020031012123), we get a palindrome (342230161032243).

The spelling of 321210130020120 in words is "three hundred twenty-one trillion, two hundred ten billion, one hundred thirty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 7373969927 14747939854 22121909781 29495879708 36869849635 44243819562 58991759416 66365729343 73739699270 81113669197 88487639124 110609548905 132731458686 147479398540 162227338394 176975278248 221219097810 243341007591 265462917372 294958797080 324454676788 331828646715 405568345985 442438195620 486682015182 530925834744 648909353576 663657293430 730023022773 811136691970 884876391240 892250361167 973364030364 1216705037955 1327314586860 1460046045546 1622273383940 1784500722334 1946728060728 2433410075910 2654629173720 2676751083501 2920092091092 3244546767880 3569001444668 3650115113865 4461251805835 4866820151820 5353502167002 5840184182184 7138002889336 7300230227730 8030253250503 8922503611670 9733640303640 10707004334004 13383755417505 14600460455460 16060506501006 17845007223340 21414008668008 26767510835010 29200920910920 32121013002012 35690014446680 40151266252515 53535021670020 64242026004024 80302532505030 107070043340040 160605065010060 321210130020120