Search a number
-
+
114032531135 = 5195927137499
BaseRepresentation
bin110101000110011011…
…1100101011010111111
3101220100010022210011002
41222030313211122333
53332014311444020
6124215200520515
711144555343665
oct1521467453277
9356303283132
10114032531135
11443a7433476
121a12532013b
13a9a3a9b6c3
14573a9a4c35
152e76146975
hex1a8cde56bf

114032531135 has 32 divisors (see below), whose sum is σ = 146556000000. Its totient is φ = 84917189376.

The previous prime is 114032531131. The next prime is 114032531161. The reversal of 114032531135 is 531135230411.

It is a cyclic number.

It is not a de Polignac number, because 114032531135 - 22 = 114032531131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114032531098 and 114032531107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032531131) 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, 15202616 + ... + 15210114.

It is an arithmetic number, because the mean of its divisors is an integer number (4579875000).

Almost surely, 2114032531135 is an apocalyptic number.

114032531135 is a deficient number, since it is larger than the sum of its proper divisors (32523468865).

114032531135 is a wasteful number, since it uses less digits than its factorization.

114032531135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 114032531135 its reverse (531135230411), we get a palindrome (645167761546).

The spelling of 114032531135 in words is "one hundred fourteen billion, thirty-two million, five hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 5 19 59 95 295 1121 2713 5605 7499 13565 37495 51547 142481 160067 257735 442441 712405 800335 2212205 3041273 8406379 15206365 20344787 42031895 101723935 386550953 1200342433 1932754765 6001712165 22806506227 114032531135