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11030111120 = 24571091371319
BaseRepresentation
bin10100100010111001…
…00010001110010000
31001110201002200221002
422101130202032100
5140042202023440
65022301321132
7540223253240
oct122134421620
931421080832
1011030111120
114750234816
122179b661a8
13106a23b092
14768cabb20
1544853b115
hex291722390

11030111120 has 160 divisors (see below), whose sum is σ = 29815948800. Its totient is φ = 3716886528.

The previous prime is 11030111093. The next prime is 11030111123. The reversal of 11030111120 is 2111103011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11030111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8361821 + ... + 8363139.

It is an arithmetic number, because the mean of its divisors is an integer number (186349680).

Almost surely, 211030111120 is an apocalyptic number.

11030111120 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 11030111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907974400).

11030111120 is an abundant number, since it is smaller than the sum of its proper divisors (18785837680).

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

11030111120 is a wasteful number, since it uses less digits than its factorization.

11030111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11030111120 its reverse (2111103011), we get a palindrome (13141214131).

The spelling of 11030111120 in words is "eleven billion, thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 137 140 218 274 280 436 545 548 560 685 763 872 959 1090 1096 1319 1370 1526 1744 1918 2180 2192 2638 2740 3052 3815 3836 4360 4795 5276 5480 6104 6595 7630 7672 8720 9233 9590 10552 10960 12208 13190 14933 15260 15344 18466 19180 21104 26380 29866 30520 36932 38360 46165 52760 59732 61040 73864 74665 76720 92330 104531 105520 119464 143771 147728 149330 180703 184660 209062 238928 287542 298660 361406 369320 418124 522655 575084 597320 718855 722812 738640 836248 903515 1006397 1045310 1150168 1194640 1264921 1437710 1445624 1672496 1807030 2012794 2090620 2300336 2529842 2875420 2891248 3614060 4025588 4181240 5031985 5059684 5750840 6324605 7228120 8051176 8362480 10063970 10119368 11501680 12649210 14456240 16102352 19696627 20127940 20238736 25298420 39393254 40255880 50596840 78786508 80511760 98483135 101193680 137876389 157573016 196966270 275752778 315146032 393932540 551505556 689381945 787865080 1103011112 1378763890 1575730160 2206022224 2757527780 5515055560 11030111120