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110445544011 = 31121937432799
BaseRepresentation
bin110011011011100010…
…0010100001001001011
3101120002010202221212010
41212313010110021023
53302143024402021
6122423223151003
710656641430405
oct1466704241113
9346063687763
10110445544011
11429266a2a00
12194a3ba5463
13a5518c660a
1454ba441b75
152d162a5976
hex19b711424b

110445544011 has 48 divisors (see below), whose sum is σ = 174989696000. Its totient is φ = 61699682880.

The previous prime is 110445544003. The next prime is 110445544039.

110445544011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110445544011 - 23 = 110445544003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110445544011.

It is not an unprimeable number, because it can be changed into a prime (110445544411) 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 47 ways as a sum of consecutive naturals, for example, 38790 + ... + 471588.

Almost surely, 2110445544011 is an apocalyptic number.

110445544011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110445544011 is a deficient number, since it is larger than the sum of its proper divisors (64544151989).

110445544011 is a wasteful number, since it uses less digits than its factorization.

110445544011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432880 (or 432869 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 110445 and 544011, that added together give a palindrome (654456).

The spelling of 110445544011 in words is "one hundred ten billion, four hundred forty-five million, five hundred forty-four thousand, eleven".

Divisors: 1 3 11 19 33 37 57 111 121 209 363 407 627 703 1221 2109 2299 4477 6897 7733 13431 23199 85063 255189 432799 1298397 4760789 8223181 14282367 16013563 24669543 48040689 52368679 90454991 157106037 176149193 271364973 304257697 528447579 912773091 995004901 1937641123 2985014703 3346834667 5812923369 10040504001 36815181337 110445544011