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111120211121 = 2353149611791
BaseRepresentation
bin110011101111101000…
…1111101110010110001
3101121211011021121010212
41213133101331302301
53310033233223441
6123014203433505
711012443132043
oct1473721756261
9347734247125
10111120211121
114314250a327
1219651b25895
13a62b60611a
145541ca3a93
152d55621eeb
hex19df47dcb1

111120211121 has 16 divisors (see below), whose sum is σ = 118932364800. Its totient is φ = 103583388480.

The previous prime is 111120211087. The next prime is 111120211127. The reversal of 111120211121 is 121112021111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111120211121 is a prime.

It is a super-2 number, since 2×1111202111212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111120211096 and 111120211105.

It is not an unprimeable number, because it can be changed into a prime (111120211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124265 + ... + 487526.

It is an arithmetic number, because the mean of its divisors is an integer number (7433272800).

Almost surely, 2111120211121 is an apocalyptic number.

It is an amenable number.

111120211121 is a deficient number, since it is larger than the sum of its proper divisors (7812153679).

111120211121 is a wasteful number, since it uses less digits than its factorization.

111120211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612016.

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

Adding to 111120211121 its reverse (121112021111), we get a palindrome (232232232232).

The spelling of 111120211121 in words is "one hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 23 53 149 1219 3427 7897 181631 611791 14071193 32424923 91156859 745773229 2096607757 4831313527 111120211121