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2220143111120 = 245116593828361
BaseRepresentation
bin100000010011101010110…
…101110110101111010000
321212020120120221121021002
4200103222311312233100
5242333323114023440
64415530351521132
7316254134034404
oct40235265665720
97766516847232
102220143111120
117866149a8560
122ba3415291a8
13131487ab75bc
1479653c6b104
153cb3ea3b115
hex204ead76bd0

2220143111120 has 80 divisors (see below), whose sum is σ = 5639636629440. Its totient is φ = 806099481600.

The previous prime is 2220143111099. The next prime is 2220143111171. The reversal of 2220143111120 is 211113410222.

2220143111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2220143111092 and 2220143111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334261 + ... + 2494100.

It is an arithmetic number, because the mean of its divisors is an integer number (70495457868).

Almost surely, 22220143111120 is an apocalyptic number.

2220143111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220143111120 is an abundant number, since it is smaller than the sum of its proper divisors (3419493518320).

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

2220143111120 is a wasteful number, since it uses less digits than its factorization.

2220143111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829044 (or 3829038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2220143111120 its reverse (211113410222), we get a palindrome (2431256521342).

The spelling of 2220143111120 in words is "two trillion, two hundred twenty billion, one hundred forty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 659 880 1318 2636 3295 5272 6590 7249 10544 13180 14498 26360 28996 36245 52720 57992 72490 115984 144980 289960 579920 3828361 7656722 15313444 19141805 30626888 38283610 42111971 61253776 76567220 84223942 153134440 168447884 210559855 306268880 336895768 421119710 673791536 842239420 1684478840 2522889899 3368957680 5045779798 10091559596 12614449495 20183119192 25228898990 27751788889 40366238384 50457797980 55503577778 100915595960 111007155556 138758944445 201831191920 222014311112 277517888890 444028622224 555035777780 1110071555560 2220143111120