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1100001111111 = 34759191172157
BaseRepresentation
bin10000000000011101001…
…011001110110001000111
310220011021222011012220000
4100000131023032301013
5121010300241023421
62201200013212343
7142321024112640
oct20003513166107
93804258135800
101100001111111
11394564a4a871
121592301910b3
137c9640a6c36
143b3516b66c7
151d930b20226
hex1001d2cec47

1100001111111 has 80 divisors (see below), whose sum is σ = 1919795834880. Its totient is φ = 614679554880.

The previous prime is 1100001111101. The next prime is 1100001111149. The reversal of 1100001111111 is 1111111000011.

It is not a de Polignac number, because 1100001111111 - 26 = 1100001111047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1100001111111 is a modest number, since divided by 1111111 gives 110000 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1100001111093 and 1100001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6303445 + ... + 6475601.

It is an arithmetic number, because the mean of its divisors is an integer number (23997447936).

Almost surely, 21100001111111 is an apocalyptic number.

1100001111111 is a deficient number, since it is larger than the sum of its proper divisors (819794723769).

1100001111111 is a wasteful number, since it uses less digits than its factorization.

1100001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172426 (or 172417 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1100001111111 its reverse (1111111000011), we get a palindrome (2211112111122).

It can be divided in two parts, 11000011 and 11111, that multiplied together give a palindrome (122221122221).

The spelling of 1100001111111 in words is "one trillion, one hundred billion, one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 191 413 531 567 573 1239 1337 1593 1719 3717 4011 4779 5157 11151 11269 12033 15471 33453 33807 36099 78883 101421 108297 172157 236649 304263 516471 709947 912789 1205099 1549413 2129841 3615297 4648239 6389523 10157263 10845891 13944717 30471789 32537673 32881987 71100841 91415367 97613019 98645961 213302523 230173909 274246101 295937883 639907569 690521727 822738303 887813649 1919722707 1940037233 2071565181 2663440947 5759168121 5820111699 6214695543 13580260631 17460335097 18644086629 40740781893 52381005291 122222345679 157143015873 366667037037 1100001111111