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11121111122 = 2111928391669
BaseRepresentation
bin10100101101101111…
…01011000001010010
31001201001022222110112
422112313223001102
5140234001023442
65035312001322
7542406612332
oct122667530122
931631288415
1011121111122
114797639430
1221a4530242
131083050234
14776dd90c2
15451514082
hex296deb052

11121111122 has 48 divisors (see below), whose sum is σ = 19240804800. Its totient is φ = 4780421280.

The previous prime is 11121111121. The next prime is 11121111137. The reversal of 11121111122 is 22111112111.

11121111122 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 2×111211111222 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11121111097 and 11121111106.

It is not an unprimeable number, because it can be changed into a prime (11121111121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6662504 + ... + 6664172.

It is an arithmetic number, because the mean of its divisors is an integer number (400850100).

Almost surely, 211121111122 is an apocalyptic number.

11121111122 is a deficient number, since it is larger than the sum of its proper divisors (8119693678).

11121111122 is a wasteful number, since it uses less digits than its factorization.

11121111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2540 counting only the distinct ones).

The product of its digits is 8, while the sum is 14.

Adding to 11121111122 its reverse (22111112111), we get a palindrome (33232223233).

The spelling of 11121111122 in words is "eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 209 361 418 722 839 1669 1678 3338 3971 7942 9229 15941 18359 18458 31711 31882 36718 63422 175351 302879 348821 350702 602509 605758 697642 1205018 1400291 2800582 3331669 6627599 6663338 13255198 15403201 26605529 30806402 53211058 292660819 505505051 585321638 1011010102 5560555561 11121111122