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111000011113 is a prime number
BaseRepresentation
bin110011101100000011…
…1011100000101101001
3101121111210002210201201
41213120013130011221
53304312000323423
6122554231244201
711006453345515
oct1473007340551
9347453083651
10111000011113
1143090681282
1219619819661
13a60c73c164
14552dd35145
152d49ccc2ad
hex19d81dc169

111000011113 has 2 divisors, whose sum is σ = 111000011114. Its totient is φ = 111000011112.

The previous prime is 111000011077. The next prime is 111000011141. The reversal of 111000011113 is 311110000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110644047424 + 355963689 = 332632^2 + 18867^2 .

It is an emirp because it is prime and its reverse (311110000111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111000011113 is a prime.

It is a super-2 number, since 2×1110000111132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111000011113.

It is not a weakly prime, because it can be changed into another prime (111000011153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500005556 + 55500005557.

It is an arithmetic number, because the mean of its divisors is an integer number (55500005557).

Almost surely, 2111000011113 is an apocalyptic number.

It is an amenable number.

111000011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000011113 is an equidigital number, since it uses as much as digits as its factorization.

111000011113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 111000011113 its reverse (311110000111), we get a palindrome (422110011224).

The spelling of 111000011113 in words is "one hundred eleven billion, eleven thousand, one hundred thirteen".