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1220311103220 = 2232511616318739
BaseRepresentation
bin10001110000100000001…
…101011011011011110100
311022122211120122001121200
4101300200031123123310
5124443144120300340
62332334142012500
7154110306142266
oct21604015333364
94278746561550
101220311103220
11430592893610
12178607877130
138b0c857a191
14430c5c73b36
1521b22e0a330
hex11c2035b6f4

1220311103220 has 72 divisors (see below), whose sum is σ = 4038120384480. Its totient is φ = 295832994240.

The previous prime is 1220311103159. The next prime is 1220311103237. The reversal of 1220311103220 is 223011130221.

1220311103220 is a `hidden beast` number, since 1 + 2 + 20 + 311 + 10 + 322 + 0 = 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 = 1220311103193 and 1220311103202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308157390 + ... + 308161349.

It is an arithmetic number, because the mean of its divisors is an integer number (56085005340).

Almost surely, 21220311103220 is an apocalyptic number.

1220311103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220311103220 is an abundant number, since it is smaller than the sum of its proper divisors (2817809281260).

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

1220311103220 is a wasteful number, since it uses less digits than its factorization.

1220311103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616318765 (or 616318760 counting only the distinct ones).

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

Adding to 1220311103220 its reverse (223011130221), we get a palindrome (1443322233441).

The spelling of 1220311103220 in words is "one trillion, two hundred twenty billion, three hundred eleven million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 616318739 1232637478 1848956217 2465274956 3081593695 3697912434 5546868651 6163187390 6779506129 7395824868 9244781085 11093737302 12326374780 13559012258 18489562170 20338518387 22187474604 27118024516 27734343255 33897530645 36979124340 40677036774 55468686510 61015555161 67795061290 81354073548 101692591935 110937373020 122031110322 135590122580 203385183870 244062220644 305077775805 406770367740 610155551610 1220311103220