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110011110011 = 11731011379901
BaseRepresentation
bin110011001110100101…
…1000101001001111011
3101111221212022102102222
41212131023011021323
53300300321010021
6122312143514255
710643115002105
oct1463513051173
9344855272388
10110011110011
1142723449240
12193a25b898b
13a4b28b9a8a
145478876575
152cdd08e6ab
hex199d2c527b

110011110011 has 32 divisors (see below), whose sum is σ = 123769930176. Its totient is φ = 96940800000.

The previous prime is 110011109983. The next prime is 110011110023.

110011110011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-110011110011 is a prime.

110011110011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110011110091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11106161 + ... + 11116061.

It is an arithmetic number, because the mean of its divisors is an integer number (3867810318).

Almost surely, 2110011110011 is an apocalyptic number.

110011110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110011110011 is a deficient number, since it is larger than the sum of its proper divisors (13758820165).

110011110011 is a wasteful number, since it uses less digits than its factorization.

110011110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 110011 and 110011, that added together give a palindrome (220022).

The spelling of 110011110011 in words is "one hundred ten billion, eleven million, one hundred ten thousand, eleven".

Divisors: 1 11 73 101 137 803 1111 1507 7373 9901 10001 13837 81103 108911 110011 152207 722773 1000001 1010101 1356437 7950503 11000011 11111111 14920807 73000073 99019901 137000137 803000803 1089218911 1507001507 10001010001 110011110011