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111000001101 = 31121392199893
BaseRepresentation
bin110011101100000011…
…1011001101001001101
3101121111210002021222220
41213120013121221031
53304312000013401
6122554231125553
711006453304363
oct1473007315115
9347453067886
10111000001101
1143090674800
12196198138b9
13a60c737732
14552dd31633
152d49cc9336
hex19d81d9a4d

111000001101 has 24 divisors (see below), whose sum is σ = 163848105120. Its totient is φ = 66788721120.

The previous prime is 111000001081. The next prime is 111000001171. The reversal of 111000001101 is 101100000111.

It is not a de Polignac number, because 111000001101 - 26 = 111000001037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000001171) 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 23 ways as a sum of consecutive naturals, for example, 1049490 + ... + 1150403.

It is an arithmetic number, because the mean of its divisors is an integer number (6827004380).

Almost surely, 2111000001101 is an apocalyptic number.

111000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111000001101 is a deficient number, since it is larger than the sum of its proper divisors (52848104019).

111000001101 is a wasteful number, since it uses less digits than its factorization.

111000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200057 (or 2200046 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111000001101 its reverse (101100000111), we get a palindrome (212100001212).

It can be divided in two parts, 11100000110 and 1, that added together give a palindrome (11100000111).

The spelling of 111000001101 in words is "one hundred eleven billion, one thousand, one hundred one".

Divisors: 1 3 11 33 121 139 363 417 1529 4587 16819 50457 2199893 6599679 24198823 72596469 266187053 305785127 798561159 917355381 3363636397 10090909191 37000000367 111000001101