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14111120101 = 1341169715601
BaseRepresentation
bin11010010010001011…
…01001101011100101
31100102102120011200211
431021011221223211
5212344421320401
610252122135421
71006454353561
oct151105515345
940372504624
1014111120101
115a913a5431
122899951571
13143b647010
1497c1606a1
15578c82951
hex349169ae5

14111120101 has 16 divisors (see below), whose sum is σ = 15577411248. Its totient is φ = 12699648000.

The previous prime is 14111120081. The next prime is 14111120117. The reversal of 14111120101 is 10102111141.

14111120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 115047076 + 13996073025 = 10726^2 + 118305^2 .

It is not a de Polignac number, because 14111120101 - 27 = 14111119973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111120131) 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 15 ways as a sum of consecutive naturals, for example, 896701 + ... + 912301.

It is an arithmetic number, because the mean of its divisors is an integer number (973588203).

Almost surely, 214111120101 is an apocalyptic number.

It is an amenable number.

14111120101 is a deficient number, since it is larger than the sum of its proper divisors (1466291147).

14111120101 is a wasteful number, since it uses less digits than its factorization.

14111120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17352.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 14111120101 its reverse (10102111141), we get a palindrome (24213231242).

The spelling of 14111120101 in words is "fourteen billion, one hundred eleven million, one hundred twenty thousand, one hundred one".

Divisors: 1 13 41 533 1697 15601 22061 69577 202813 639641 904501 8315333 26474897 344173661 1085470777 14111120101