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2223321110120 = 2351119761341843
BaseRepresentation
bin100000010110101000010…
…000111101011001101000
321212112210001220200022202
4200112220100331121220
5242411330201010440
64421213555235332
7316425653422535
oct40265020753150
97775701820282
102223321110120
117879a5894210
122baa898a8b48
13131873321c96
1479875d69d8c
153cc78a40615
hex205a843d668

2223321110120 has 128 divisors (see below), whose sum is σ = 5494023469440. Its totient is φ = 803045053440.

The previous prime is 2223321110119. The next prime is 2223321110149. The reversal of 2223321110120 is 210111233222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2223321110092 and 2223321110101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53113919 + ... + 53155761.

It is an arithmetic number, because the mean of its divisors is an integer number (42922058355).

Almost surely, 22223321110120 is an apocalyptic number.

2223321110120 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 2223321110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747011734720).

2223321110120 is an abundant number, since it is smaller than the sum of its proper divisors (3270702359320).

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

2223321110120 is a wasteful number, since it uses less digits than its factorization.

2223321110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42675 (or 42671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2223321110120 its reverse (210111233222), we get a palindrome (2433432343342).

The spelling of 2223321110120 in words is "two trillion, two hundred twenty-three billion, three hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 613 788 985 1226 1576 1970 2167 2452 3065 3940 4334 4904 6130 6743 7880 8668 10835 12260 13486 17336 21670 24520 26972 33715 41843 43340 53944 67430 83686 86680 120761 134860 167372 209215 241522 269720 334744 418430 460273 483044 603805 836860 920546 966088 1207610 1328371 1673720 1841092 2301365 2415220 2656742 3682184 4602730 4830440 5313484 6641855 8243071 9205460 10626968 13283710 16486142 18410920 25649759 26567420 32972284 41215355 51299518 53134840 65944568 82430710 90673781 102599036 128248795 164861420 181347562 205198072 256497590 282147349 329722840 362695124 453368905 512995180 564294698 725390248 906737810 1025990360 1128589396 1410736745 1813475620 2257178792 2821473490 3626951240 5053002523 5642946980 10106005046 11285893960 20212010092 25265012615 40424020184 50530025230 55583027753 101060050460 111166055506 202120100920 222332111012 277915138765 444664222024 555830277530 1111660555060 2223321110120