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11121101123 = 1117731575189
BaseRepresentation
bin10100101101101111…
…01000100101000011
31001201001022110202012
422112313220211003
5140234000213443
65035311443135
7542406541226
oct122667504503
931631273665
1011121101123
114797631970
1221a45264ab
131083048812
14776dd55bd
15451511118
hex296de8943

11121101123 has 32 divisors (see below), whose sum is σ = 13107199680. Its totient is φ = 9323458560.

The previous prime is 11121101111. The next prime is 11121101149. The reversal of 11121101123 is 32110112111.

11121101123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11121101123 - 28 = 11121100867 is a prime.

It is a super-3 number, since 3×111211011233 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121101098 and 11121101107.

It is not an unprimeable number, because it can be changed into a prime (11121101153) 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 31 ways as a sum of consecutive naturals, for example, 2140613 + ... + 2145801.

It is an arithmetic number, because the mean of its divisors is an integer number (409599990).

Almost surely, 211121101123 is an apocalyptic number.

11121101123 is a deficient number, since it is larger than the sum of its proper divisors (1986098557).

11121101123 is a wasteful number, since it uses less digits than its factorization.

11121101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11121101123 its reverse (32110112111), we get a palindrome (43231213234).

The spelling of 11121101123 in words is "eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 11 17 73 157 187 803 1241 1727 2669 5189 11461 13651 29359 57079 88213 126071 194837 378797 814673 970343 2143207 4166767 6439549 8961403 13849441 59471129 70835039 152343851 654182419 1011009193 11121101123