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109688044411 = 11192925172101
BaseRepresentation
bin110011000100111101…
…0101011101101111011
3101111010100101222202101
41212021322223231323
53244120114410121
6122220123244231
710632112664641
oct1461172535573
9344110358671
10109688044411
1142578050280
1219312379677
13a4609a43ba
1454479bb191
152cbea26491
hex1989eabb7b

109688044411 has 32 divisors (see below), whose sum is σ = 130821868800. Its totient is φ = 90846000000.

The previous prime is 109688044391. The next prime is 109688044451. The reversal of 109688044411 is 114440886901.

It is a 7-Lehmer number, since φ(109688044411) divides (109688044411-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-109688044411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109688044451) 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 31 ways as a sum of consecutive naturals, for example, 1485261 + ... + 1557361.

It is an arithmetic number, because the mean of its divisors is an integer number (4088183400).

Almost surely, 2109688044411 is an apocalyptic number.

109688044411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

109688044411 is the 148114-th centered decagonal number.

109688044411 is a deficient number, since it is larger than the sum of its proper divisors (21133824389).

109688044411 is a wasteful number, since it uses less digits than its factorization.

109688044411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72411.

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 109688044411 in words is "one hundred nine billion, six hundred eighty-eight million, forty-four thousand, four hundred eleven".

Divisors: 1 11 19 29 209 251 319 551 2761 4769 6061 7279 52459 72101 80069 138301 793111 1369919 1521311 2090929 15069109 18097351 23000219 39727651 199070861 343849669 437004161 524823179 3782346359 5773054969 9971640401 109688044411