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1121111118 = 23510721559
BaseRepresentation
bin100001011010010…
…1100110001001110
32220010120100100000
41002310230301032
54244001023433
6303125145130
736532200351
oct10264546116
92803510300
101121111118
11525924416
1227355b1a6
1314b362a7a
14a8c76298
1568656113
hex42d2cc4e

1121111118 has 48 divisors (see below), whose sum is σ = 2542700160. Its totient is φ = 370193976.

The previous prime is 1121111111. The next prime is 1121111119. The reversal of 1121111118 is 8111111211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1121111118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121111111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41223 + ... + 62781.

It is an arithmetic number, because the mean of its divisors is an integer number (52972920).

Almost surely, 21121111118 is an apocalyptic number.

1121111118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121111118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271350080).

1121111118 is an abundant number, since it is smaller than the sum of its proper divisors (1421589042).

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

1121111118 is a wasteful number, since it uses less digits than its factorization.

1121111118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21683 (or 21671 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

The square root of 1121111118 is about 33482.9974464653. The cubic root of 1121111118 is about 1038.8421279182.

Adding to 1121111118 its reverse (8111111211), we get a palindrome (9232222329).

The spelling of 1121111118 in words is "one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 963 1926 2889 5778 8667 17334 21559 26001 43118 52002 64677 129354 194031 388062 582093 1164186 1746279 2306813 3492558 4613626 5238837 6920439 10477674 13840878 20761317 41522634 62283951 124567902 186851853 373703706 560555559 1121111118