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1100011011111 = 32741771647727
BaseRepresentation
bin10000000000011101110…
…000111111110000100111
310220011022122210012010200
4100000131300333300213
5121010310304323421
62201201005321543
7142321204214625
oct20003560776047
93804278705120
101100011011111
1139456a5a1891
121592335662b3
137c96616211c
143b352b32515
151d931928726
hex1001dc3fc27

1100011011111 has 12 divisors (see below), whose sum is σ = 1588927178592. Its totient is φ = 733330342656.

The previous prime is 1100011011109. The next prime is 1100011011119. The reversal of 1100011011111 is 1111101100011.

It is not a de Polignac number, because 1100011011111 - 21 = 1100011011109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100011011093 and 1100011011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011011119) 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 11 ways as a sum of consecutive naturals, for example, 156271 + ... + 1491456.

It is an arithmetic number, because the mean of its divisors is an integer number (132410598216).

Almost surely, 21100011011111 is an apocalyptic number.

1100011011111 is a deficient number, since it is larger than the sum of its proper divisors (488916167481).

1100011011111 is a wasteful number, since it uses less digits than its factorization.

1100011011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721910 (or 1721907 counting only the distinct ones).

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

Adding to 1100011011111 its reverse (1111101100011), we get a palindrome (2211112111122).

The spelling of 1100011011111 in words is "one trillion, one hundred billion, eleven million, eleven thousand, one hundred eleven".

Divisors: 1 3 9 74177 222531 667593 1647727 4943181 14829543 122223445679 366670337037 1100011011111