Search a number
-
+
11121111110 = 2523299717189
BaseRepresentation
bin10100101101101111…
…01011000001000110
31001201001022222110002
422112313223001012
5140234001023420
65035312001302
7542406612314
oct122667530106
931631288402
1011121111110
11479763941a
1221a4530232
131083050225
14776dd90b4
15451514075
hex296deb046

11121111110 has 64 divisors (see below), whose sum is σ = 21832675200. Its totient is φ = 4065718272.

The previous prime is 11121111107. The next prime is 11121111121. The reversal of 11121111110 is 1111112111.

It is a happy number.

11121111110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111211111102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121111091 and 11121111100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638396 + ... + 655584.

It is an arithmetic number, because the mean of its divisors is an integer number (341135550).

Almost surely, 211121111110 is an apocalyptic number.

11121111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121111110 is a deficient number, since it is larger than the sum of its proper divisors (10711564090).

11121111110 is a wasteful number, since it uses less digits than its factorization.

11121111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11121111110 its reverse (1111112111), we get a palindrome (12232223221).

It can be divided in two parts, 11 and 121111110, that added together give a palindrome (121111121).

The spelling of 11121111110 in words is "eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 23 29 46 58 97 115 145 194 230 290 485 667 970 1334 2231 2813 3335 4462 5626 6670 11155 14065 17189 22310 28130 34378 64699 85945 129398 171890 323495 395347 498481 646990 790694 996962 1667333 1976735 2492405 3334666 3953470 4984810 8336665 11465063 16673330 22930126 38348659 48352657 57325315 76697318 96705314 114650630 191743295 241763285 383486590 483526570 1112111111 2224222222 5560555555 11121111110