Search a number
-
+
220110002201112 = 23371371952816577
BaseRepresentation
bin110010000011000001011010…
…011111100010001000011000
31001212100022101111122100221220
4302003001122133202020120
5212322240241030413422
62100045050012332040
764235265021535212
oct6203013237421030
91055308344570856
10220110002201112
1164152144a941a1
122082a962474020
1395a839036063a
143c4d5494795b2
151a6a876304e5c
hexc8305a7e2218

220110002201112 has 128 divisors (see below), whose sum is σ = 558365983718400. Its totient is φ = 72292482662400.

The previous prime is 220110002201039. The next prime is 220110002201143. The reversal of 220110002201112 is 211102200011022.

It is a junction number, because it is equal to n+sod(n) for n = 220110002201091 and 220110002201100.

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 31 ways as a sum of consecutive naturals, for example, 33466623168 + ... + 33466629744.

It is an arithmetic number, because the mean of its divisors is an integer number (4362234247800).

Almost surely, 2220110002201112 is an apocalyptic number.

It is an amenable number.

220110002201112 is an abundant number, since it is smaller than the sum of its proper divisors (338255981517288).

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

220110002201112 is a wasteful number, since it uses less digits than its factorization.

220110002201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220110002201112 its reverse (211102200011022), we get a palindrome (431212202212134).

The spelling of 220110002201112 in words is "two hundred twenty trillion, one hundred ten billion, two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 3719 5281 6577 7438 10562 11157 13154 14876 15843 19731 21124 22314 26308 29752 31686 39462 42248 44628 52616 63372 78924 89256 126744 157848 264049 374951 466967 528098 749902 792147 933934 1056196 1124853 1400901 1499804 1584294 1867868 2112392 2249706 2801802 2999608 3168588 3735736 4499412 5603604 6337176 8998824 11207208 19640039 24459863 34733137 39280078 48919726 58920117 69466274 73379589 78560156 97839452 104199411 117840234 138932548 146759178 157120312 195678904 208398822 235680468 277865096 293518356 416797644 471360936 587036712 833595288 1394442769 1736650273 2466052727 2788885538 3473300546 4183328307 4932105454 5209950819 5577771076 6946601092 7398158181 8366656614 9864210908 10419901638 11155542152 13893202184 14796316362 16733313228 19728421816 20839803276 29592632724 33466626456 41679606552 59185265448 129172536503 258345073006 387517609509 516690146012 775035219018 1033380292024 1550070438036 3100140876072 9171250091713 18342500183426 27513750275139 36685000366852 55027500550278 73370000733704 110055001100556 220110002201112