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11122231120 = 24571113138889
BaseRepresentation
bin10100101101110111…
…11100011101010000
31001201010102212210221
422112323330131100
5140234242343440
65035352002424
7542422255540
oct122673743520
931633385727
1011122231120
114798233950
1221a4990414
131083352c60
1477720b320
15451685d4a
hex296efc750

11122231120 has 160 divisors (see below), whose sum is σ = 34720277760. Its totient is φ = 3199979520.

The previous prime is 11122231103. The next prime is 11122231123. The reversal of 11122231120 is 2113222111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11122231094 and 11122231103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122231123) 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 31 ways as a sum of consecutive naturals, for example, 10636 + ... + 149524.

It is an arithmetic number, because the mean of its divisors is an integer number (217001736).

Almost surely, 211122231120 is an apocalyptic number.

11122231120 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 11122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360138880).

11122231120 is an abundant number, since it is smaller than the sum of its proper divisors (23598046640).

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

11122231120 is a wasteful number, since it uses less digits than its factorization.

11122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138933 (or 138927 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11122231120 its reverse (2113222111), we get a palindrome (13235453231).

Subtracting from 11122231120 its reverse (2113222111), we obtain a palindrome (9009009009).

It can be divided in two parts, 11122 and 231120, that added together give a palindrome (242242).

The spelling of 11122231120 in words is "eleven billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 138889 277778 555556 694445 972223 1111112 1388890 1527779 1805557 1944446 2222224 2777780 3055558 3611114 3888892 4861115 5555560 6111116 7222228 7638895 7777784 9027785 9722230 10694453 11111120 12222232 12638899 14444456 15277790 15555568 18055570 19444460 19861127 21388906 24444464 25277798 28888912 30555580 36111140 38888920 39722254 42777812 50555596 53472265 61111160 63194495 72222280 77777840 79444508 85555624 99305635 101111192 106944530 122222320 126388990 139027889 144444560 158889016 171111248 198611270 202222384 213889060 252777980 278055778 317778032 397222540 427778120 505555960 556111556 695139445 794445080 855556240 1011111920 1112223112 1390278890 1588890160 2224446224 2780557780 5561115560 11122231120