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1110110002011 = 32711819598129
BaseRepresentation
bin10000001001110111101…
…101100101101101011011
310221010101110211002020200
4100021313231211231123
5121142001130031021
62205551045553243
7143126363220033
oct20116755455533
93833343732220
101110110002011
1139888217915a
1215b191715823
13808b54cb99a
143ba300a28c3
151dd2333c126
hex10277b65b5b

1110110002011 has 24 divisors (see below), whose sum is σ = 1635060641760. Its totient is φ = 725618476800.

The previous prime is 1110110001961. The next prime is 1110110002013. The reversal of 1110110002011 is 1102000110111.

It is not a de Polignac number, because 1110110002011 - 218 = 1110109739867 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 = 1110110001984 and 1110110002002.

It is not an unprimeable number, because it can be changed into a prime (1110110002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4683406 + ... + 4914723.

It is an arithmetic number, because the mean of its divisors is an integer number (68127526740).

Almost surely, 21110110002011 is an apocalyptic number.

1110110002011 is a deficient number, since it is larger than the sum of its proper divisors (524950639749).

1110110002011 is a wasteful number, since it uses less digits than its factorization.

1110110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598387 (or 9598384 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110110002011 its reverse (1102000110111), we get a palindrome (2212110112122).

The spelling of 1110110002011 in words is "one trillion, one hundred ten billion, one hundred ten million, two thousand, eleven".

Divisors: 1 3 9 71 181 213 543 639 1629 12851 38553 115659 9598129 28794387 86383161 681467159 1737261349 2044401477 5211784047 6133204431 15635352141 123345555779 370036667337 1110110002011