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114032103141 = 311171915170849
BaseRepresentation
bin110101000110011010…
…1111100111011100101
3101220100002112001001110
41222030311330323211
53332014204300031
6124215143415233
711144551612125
oct1521465747345
9356302461043
10114032103141
11443a7170960
121a125154519
13a9a397b958
14573a8d2c85
152e760aec46
hex1a8cd7cee5

114032103141 has 64 divisors (see below), whose sum is σ = 186091776000. Its totient is φ = 61212672000.

The previous prime is 114032103131. The next prime is 114032103173. The reversal of 114032103141 is 141301230411.

It is not a de Polignac number, because 114032103141 - 29 = 114032102629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032103131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1574085 + ... + 1644933.

It is an arithmetic number, because the mean of its divisors is an integer number (2907684000).

Almost surely, 2114032103141 is an apocalyptic number.

114032103141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114032103141 is a deficient number, since it is larger than the sum of its proper divisors (72059672859).

114032103141 is a wasteful number, since it uses less digits than its factorization.

114032103141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71050.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114032103141 its reverse (141301230411), we get a palindrome (255333333552).

The spelling of 114032103141 in words is "one hundred fourteen billion, thirty-two million, one hundred three thousand, one hundred forty-one".

Divisors: 1 3 11 17 19 33 51 57 151 187 209 323 453 561 627 969 1661 2567 2869 3553 4983 7701 8607 10659 28237 31559 48773 70849 84711 94677 146319 212547 536503 779339 1204433 1346131 1609509 2338017 3613299 4038393 10698199 13248763 14807441 22884227 32094597 39746289 44422323 68652681 117680189 181869383 203265781 251726497 353040567 545608149 609797343 755179491 2000563213 2235923591 3455518277 6001689639 6707770773 10366554831 38010701047 114032103141