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1323120110220 = 2232559191652291
BaseRepresentation
bin10011010000010000000…
…110101010101010001100
311200111012111220202001200
4103100100012222222030
5133134222222011340
62451455531505500
7164410102241466
oct23202006525214
94614174822050
101323120110220
1147014a8991a7
1219451a2b8290
1397a0101b72c
1448079dc1136
152463da5d330
hex134101aaa8c

1323120110220 has 144 divisors (see below), whose sum is σ = 4102864496640. Its totient is φ = 345035318400.

The previous prime is 1323120110219. The next prime is 1323120110227. The reversal of 1323120110220 is 220110213231.

1323120110220 is a `hidden beast` number, since 1 + 3 + 231 + 201 + 10 + 220 = 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 = 1323120110193 and 1323120110202.

It is not an unprimeable number, because it can be changed into a prime (1323120110227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702275 + ... + 2354565.

It is an arithmetic number, because the mean of its divisors is an integer number (28492114560).

Almost surely, 21323120110220 is an apocalyptic number.

1323120110220 is a gapful number since it is divisible by the number (10) 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 1323120110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051432248320).

1323120110220 is an abundant number, since it is smaller than the sum of its proper divisors (2779744386420).

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

1323120110220 is a wasteful number, since it uses less digits than its factorization.

1323120110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652556 (or 652551 counting only the distinct ones).

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

Adding to 1323120110220 its reverse (220110213231), we get a palindrome (1543230323451).

The spelling of 1323120110220 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 191 236 295 354 382 531 573 590 708 764 885 955 1062 1146 1180 1719 1770 1910 2124 2292 2655 2865 3438 3540 3820 5310 5730 6876 8595 10620 11269 11460 17190 22538 33807 34380 45076 56345 67614 101421 112690 135228 169035 202842 225380 338070 405684 507105 652291 676140 1014210 1304582 1956873 2028420 2609164 3261455 3913746 5870619 6522910 7827492 9784365 11741238 13045820 19568730 23482476 29353095 38485169 39137460 58706190 76970338 115455507 117412380 124587581 153940676 192425845 230911014 249175162 346366521 373762743 384851690 461822028 498350324 577277535 622937905 692733042 747525486 769703380 1121288229 1154555070 1245875810 1385466084 1495050972 1731832605 1868813715 2242576458 2309110140 2491751620 3463665210 3737627430 4485152916 5606441145 6927330420 7350667279 7475254860 11212882290 14701334558 22052001837 22425764580 29402669116 36753336395 44104003674 66156005511 73506672790 88208007348 110260009185 132312011022 147013345580 220520018370 264624022044 330780027555 441040036740 661560055110 1323120110220