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104014201141 = 192312535657
BaseRepresentation
bin110000011011110111…
…0101100000100110101
3100221110221001220000001
41200313232230010311
53201010113414031
6115441121151301
710341366056554
oct1406756540465
9327427056001
10104014201141
1140126339904
12181aa18b531
139a68363ca6
14506a22dd9b
152a8b867861
hex1837bac135

104014201141 has 36 divisors (see below), whose sum is σ = 115592838156. Its totient is φ = 93545262720.

The previous prime is 104014201111. The next prime is 104014201153. The reversal of 104014201141 is 141102410401.

It can be written as a sum of positive squares in 2 ways, for example, as 39868508241 + 64145692900 = 199671^2 + 253270^2 .

It is not a de Polignac number, because 104014201141 - 219 = 104013676853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104014201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18383985 + ... + 18389641.

It is an arithmetic number, because the mean of its divisors is an integer number (3210912171).

Almost surely, 2104014201141 is an apocalyptic number.

It is an amenable number.

104014201141 is a deficient number, since it is larger than the sum of its proper divisors (11578637015).

104014201141 is an equidigital number, since it uses as much as digits as its factorization.

104014201141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 104014201141 its reverse (141102410401), we get a palindrome (245116611542).

The spelling of 104014201141 in words is "one hundred four billion, fourteen million, two hundred one thousand, one hundred forty-one".

Divisors: 1 19 31 53 361 589 961 1007 1643 5657 11191 18259 19133 31217 50933 107483 175367 299821 346921 593123 967727 2042177 3331973 5436377 5696599 9294451 18386813 63307487 103291163 108235381 176594569 288127981 1962532097 3355296811 5474431639 104014201141