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1112331220 = 2257112135051
BaseRepresentation
bin100001001001100…
…1101001111010100
32212112001021120121
41002103031033110
54234224044340
6302213041324
736364442110
oct10223151724
92775037517
101112331220
11520977a00
12270626244
131495aa670
14a7a2c740
15679be94a
hex424cd3d4

1112331220 has 144 divisors (see below), whose sum is σ = 3160692864. Its totient is φ = 319968000.

The previous prime is 1112331211. The next prime is 1112331251. The reversal of 1112331220 is 221332111.

It is a junction number, because it is equal to n+sod(n) for n = 1112331194 and 1112331203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217695 + ... + 222745.

It is an arithmetic number, because the mean of its divisors is an integer number (21949256).

Almost surely, 21112331220 is an apocalyptic number.

1112331220 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 1112331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580346432).

1112331220 is an abundant number, since it is smaller than the sum of its proper divisors (2048361644).

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

1112331220 is a wasteful number, since it uses less digits than its factorization.

1112331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1112331220 is about 33351.6299451766. The cubic root of 1112331220 is about 1036.1231461670.

Adding to 1112331220 its reverse (221332111), we get a palindrome (1333663331).

The spelling of 1112331220 in words is "one billion, one hundred twelve million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 5051 6292 7865 8470 10010 10102 11011 15730 16940 20020 20204 22022 25255 31460 35357 44044 50510 55055 55561 65663 70714 101020 110110 111122 131326 141428 176785 220220 222244 262652 277805 328315 353570 388927 459641 555610 611171 656630 707140 722293 777854 919282 1111220 1222342 1313260 1444586 1555708 1838564 1944635 2298205 2444684 2889172 3055855 3611465 3889270 4278197 4596410 5056051 6111710 7222930 7778540 7945223 8556394 9192820 10112102 12223420 14445860 15890446 17112788 20224204 21390985 25280255 31780892 39726115 42781970 50560510 55616561 79452230 85563940 101121020 111233122 158904460 222466244 278082805 556165610 1112331220