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11222111120 = 2451128871307
BaseRepresentation
bin10100111001110001…
…11101001110010000
31001222002101022102012
422130320331032100
5140440330023440
65053320442052
7545044241063
oct123470751620
931862338365
1011222111120
114839653200
122212319328
13109ac53c4c
147865aa8da
1545a314e65
hex29ce3d390

11222111120 has 120 divisors (see below), whose sum is σ = 28733285952. Its totient is φ = 4073048320.

The previous prime is 11222111093. The next prime is 11222111143. The reversal of 11222111120 is 2111122211.

11222111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11222111095 and 11222111104.

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 23 ways as a sum of consecutive naturals, for example, 8585507 + ... + 8586813.

Almost surely, 211222111120 is an apocalyptic number.

11222111120 is a gapful number since it is divisible by the number (10) 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 11222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366642976).

11222111120 is an abundant number, since it is smaller than the sum of its proper divisors (17511174832).

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

11222111120 is a wasteful number, since it uses less digits than its factorization.

11222111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11222111120 its reverse (2111122211), we get a palindrome (13333233331).

The spelling of 11222111120 in words is "eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 887 968 1210 1307 1774 1936 2420 2614 3548 4435 4840 5228 6535 7096 8870 9680 9757 10456 13070 14192 14377 17740 19514 20912 26140 28754 35480 39028 48785 52280 57508 70960 71885 78056 97570 104560 107327 115016 143770 156112 158147 195140 214654 230032 287540 316294 390280 429308 536635 575080 632588 780560 790735 858616 1073270 1150160 1159309 1265176 1581470 1717232 2146540 2318618 2530352 3162940 4293080 4637236 5796545 6325880 8586160 9274472 11593090 12651760 12752399 18548944 23186180 25504798 46372360 51009596 63761995 92744720 102019192 127523990 140276389 204038384 255047980 280552778 510095960 561105556 701381945 1020191920 1122211112 1402763890 2244422224 2805527780 5611055560 11222111120