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1100112110011 = 1982279703711
BaseRepresentation
bin10000000000100011110…
…010101010000110111011
310220011120201000112202101
4100000203302222012323
5121011012200010021
62201215020244231
7142323542434615
oct20004362520673
93804521015671
101100112110011
113946116739a2
121592613a0677
137c98109bb65
143b36232bdb5
151d93a748a91
hex10023caa1bb

1100112110011 has 8 divisors (see below), whose sum is σ = 1158028467200. Its totient is φ = 1042197324840.

The previous prime is 1100112109981. The next prime is 1100112110017.

1100112110011 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100112110011 - 215 = 1100112077243 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100112110011.

It is not an unprimeable number, because it can be changed into a prime (1100112110017) 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 7 ways as a sum of consecutive naturals, for example, 1211446 + ... + 1915156.

It is an arithmetic number, because the mean of its divisors is an integer number (144753558400).

Almost surely, 21100112110011 is an apocalyptic number.

1100112110011 is a deficient number, since it is larger than the sum of its proper divisors (57916357189).

1100112110011 is an equidigital number, since it uses as much as digits as its factorization.

1100112110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786009.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 1100112110011 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred ten thousand, eleven".

Divisors: 1 19 82279 703711 1563301 13370509 57900637369 1100112110011