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120333223230 = 235117143911699
BaseRepresentation
bin111000000010001101…
…0110100010100111110
3102111121020012002211120
41300010122310110332
53432420301120410
6131140314331410
711456653343463
oct1600432642476
9374536162746
10120333223230
114703aa70720
121b3a3429b66
13b46924828c
145b776c766a
1531e4378570
hex1c046b453e

120333223230 has 128 divisors (see below), whose sum is σ = 320246784000. Its totient is φ = 28692854400.

The previous prime is 120333223177. The next prime is 120333223237. The reversal of 120333223230 is 32322333021.

It is a super-2 number, since 2×1203332232302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120333223230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120333223237) 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 63 ways as a sum of consecutive naturals, for example, 10279921 + ... + 10291619.

It is an arithmetic number, because the mean of its divisors is an integer number (2501928000).

Almost surely, 2120333223230 is an apocalyptic number.

120333223230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120333223230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160123392000).

120333223230 is an abundant number, since it is smaller than the sum of its proper divisors (199913560770).

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

120333223230 is a wasteful number, since it uses less digits than its factorization.

120333223230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 120333223230 its reverse (32322333021), we get a palindrome (152655556251).

The spelling of 120333223230 in words is "one hundred twenty billion, three hundred thirty-three million, two hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 439 710 781 878 1065 1317 1562 2130 2195 2343 2634 3905 4390 4686 4829 6585 7810 9658 11699 11715 13170 14487 23398 23430 24145 28974 31169 35097 48290 58495 62338 70194 72435 93507 116990 128689 144870 155845 175485 187014 257378 311690 342859 350970 386067 467535 643445 685718 772134 830629 935070 1028577 1286890 1661258 1714295 1930335 2057154 2491887 3428590 3860670 4153145 4983774 5135861 5142885 8306290 9136919 10271722 10285770 12459435 15407583 18273838 24918870 25679305 27410757 30815166 45684595 51358610 54821514 56494471 77037915 91369190 112988942 137053785 154075830 169483413 274107570 282472355 338966826 364646131 564944710 729292262 847417065 1093938393 1694834130 1823230655 2187876786 3646461310 4011107441 5469691965 8022214882 10939383930 12033322323 20055537205 24066644646 40111074410 60166611615 120333223230