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1121021118 = 232724213019
BaseRepresentation
bin100001011010001…
…0110110010111110
32220010101202212200
41002310112302332
54243440133433
6303123212330
736531344100
oct10264266276
92803352780
101121021118
11525872838
122735170a6
1314b330b09
14a8c51570
1568639613
hex42d16cbe

1121021118 has 72 divisors (see below), whose sum is σ = 2833080120. Its totient is φ = 319425120.

The previous prime is 1121021117. The next prime is 1121021149. The reversal of 1121021118 is 8111201211.

1121021118 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1121021118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121021117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369813 + ... + 372831.

It is an arithmetic number, because the mean of its divisors is an integer number (39348335).

Almost surely, 21121021118 is an apocalyptic number.

1121021118 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 1121021118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416540060).

1121021118 is an abundant number, since it is smaller than the sum of its proper divisors (1712059002).

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

1121021118 is a wasteful number, since it uses less digits than its factorization.

1121021118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 1121021118 is about 33481.6534537947. The cubic root of 1121021118 is about 1038.8143286240.

Adding to 1121021118 its reverse (8111201211), we get a palindrome (9232222329).

The spelling of 1121021118 in words is "one billion, one hundred twenty-one million, twenty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 421 441 842 882 1263 2526 2947 3019 3789 5894 6038 7578 8841 9057 17682 18114 20629 21133 26523 27171 41258 42266 53046 54342 61887 63399 123774 126798 147931 185661 190197 295862 371322 380394 443793 887586 1270999 1331379 2541998 2662758 3812997 7625994 8896993 11438991 17793986 22877982 26690979 53381958 62278951 80072937 124557902 160145874 186836853 373673706 560510559 1121021118