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11121114123 = 3272343178489
BaseRepresentation
bin10100101101101111…
…01011110000001011
31001201001100010120200
422112313223300023
5140234001122443
65035312023243
7542406624150
oct122667536013
931631303520
1011121114123
114797640709
1221a4531b23
131083051702
14776dda227
15451514dd3
hex296debc0b

11121114123 has 48 divisors (see below), whose sum is σ = 19602485760. Its totient is φ = 5937224832.

The previous prime is 11121114113. The next prime is 11121114149. The reversal of 11121114123 is 32141112111.

It is not a de Polignac number, because 11121114123 - 28 = 11121113867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121114096 and 11121114105.

It is not an unprimeable number, because it can be changed into a prime (11121114113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26938 + ... + 151551.

It is an arithmetic number, because the mean of its divisors is an integer number (408385120).

Almost surely, 211121114123 is an apocalyptic number.

11121114123 is a deficient number, since it is larger than the sum of its proper divisors (8481371637).

11121114123 is a wasteful number, since it uses less digits than its factorization.

11121114123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178568 (or 178565 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 11121114123 its reverse (32141112111), we get a palindrome (43262226234).

The spelling of 11121114123 in words is "eleven billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 23 43 63 69 129 161 207 301 387 483 903 989 1449 2709 2967 6923 8901 20769 62307 178489 535467 1249423 1606401 3748269 4105247 7675027 11244807 12315741 23025081 28736729 36947223 53725189 69075243 86210187 161175567 176525621 258630561 483526701 529576863 1235679347 1588730589 3707038041 11121114123