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111003230013 = 31310926112263
BaseRepresentation
bin110011101100001001…
…1101101111100111101
3101121112000011100020020
41213120103231330331
53304313311330023
6122554424242353
711006522613204
oct1473023557475
9347460140206
10111003230013
114309247a725
121961a9103b9
13a6102c8330
14553053223b
152d4a215de3
hex19d84edf3d

111003230013 has 16 divisors (see below), whose sum is σ = 160851546240. Its totient is φ = 67682983104.

The previous prime is 111003230003. The next prime is 111003230017. The reversal of 111003230013 is 310032300111.

It is not a de Polignac number, because 111003230013 - 221 = 111001132861 is a prime.

It is a super-3 number, since 3×1110032300133 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111003229974 and 111003230001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111003230017) 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, 13051881 + ... + 13060382.

It is an arithmetic number, because the mean of its divisors is an integer number (10053221640).

Almost surely, 2111003230013 is an apocalyptic number.

111003230013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111003230013 is a deficient number, since it is larger than the sum of its proper divisors (49848316227).

111003230013 is a wasteful number, since it uses less digits than its factorization.

111003230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26112388.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 111003230013 its reverse (310032300111), we get a palindrome (421035530124).

The spelling of 111003230013 in words is "one hundred eleven billion, three million, two hundred thirty thousand, thirteen".

Divisors: 1 3 13 39 109 327 1417 4251 26112263 78336789 339459419 1018378257 2846236667 8538710001 37001076671 111003230013