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220103321112 = 2335120194273
BaseRepresentation
bin1100110011111100101…
…1100010011000011000
3210001010101020012200000
43030333023202120120
512101232422233422
6245040350013000
721621236234433
oct3147713423030
9701111205600
10220103321112
118538864a974
12367a81a7160
13179a923115c
14a91ddc081a
155ad32edcac
hex333f2e2618

220103321112 has 96 divisors (see below), whose sum is σ = 618712720080. Its totient is φ = 73305907200.

The previous prime is 220103321069. The next prime is 220103321117. The reversal of 220103321112 is 211123301022.

220103321112 is a `hidden beast` number, since 220 + 1 + 0 + 332 + 1 + 112 = 666.

220103321112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103321117) by changing a digit.

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, 2287608 + ... + 2381880.

Almost surely, 2220103321112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220103321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309356360040).

220103321112 is an abundant number, since it is smaller than the sum of its proper divisors (398609398968).

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

220103321112 is a wasteful number, since it uses less digits than its factorization.

220103321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95495 (or 95479 counting only the distinct ones).

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

Adding to 220103321112 its reverse (211123301022), we get a palindrome (431226622134).

The spelling of 220103321112 in words is "two hundred twenty billion, one hundred three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1201 1944 2402 3603 4804 7206 9608 10809 14412 21618 28824 32427 43236 64854 86472 94273 97281 129708 188546 194562 259416 282819 291843 377092 389124 565638 583686 754184 778248 848457 1131276 1167372 1696914 2262552 2334744 2545371 3393828 5090742 6787656 7636113 10181484 15272226 20362968 22908339 30544452 45816678 61088904 91633356 113221873 183266712 226443746 339665619 452887492 679331238 905774984 1018996857 1358662476 2037993714 2717324952 3056990571 4075987428 6113981142 8151974856 9170971713 12227962284 18341943426 24455924568 27512915139 36683886852 55025830278 73367773704 110051660556 220103321112