Search a number
-
+
114441322203 = 33132234723201
BaseRepresentation
bin110101010010100111…
…0111111111011011011
3101221101121112112002000
41222211032333323123
53333333434302303
6124323522412043
711160651121455
oct1524516777333
9357347475060
10114441322203
114459716322a
121a21a201023
13aa3a69a500
145778db72d5
152e9be94da3
hex1aa53bfedb

114441322203 has 96 divisors (see below), whose sum is σ = 195654113280. Its totient is φ = 65927347200.

The previous prime is 114441322153. The next prime is 114441322241. The reversal of 114441322203 is 302223144411.

114441322203 is a `hidden beast` number, since 1 + 1 + 44 + 413 + 2 + 2 + 203 = 666.

It is not a de Polignac number, because 114441322203 - 210 = 114441321179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114441322003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4921003 + ... + 4944203.

It is an arithmetic number, because the mean of its divisors is an integer number (2038063680).

Almost surely, 2114441322203 is an apocalyptic number.

114441322203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114441322203 is a deficient number, since it is larger than the sum of its proper divisors (81212791077).

114441322203 is a wasteful number, since it uses less digits than its factorization.

114441322203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23306 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114441322203 its reverse (302223144411), we get a palindrome (416664466614).

The spelling of 114441322203 in words is "one hundred fourteen billion, four hundred forty-one million, three hundred twenty-two thousand, two hundred three".

Divisors: 1 3 9 13 23 27 39 47 69 117 141 169 207 299 351 423 507 611 621 897 1081 1269 1521 1833 2691 3243 3887 4563 5499 7943 8073 9729 11661 14053 16497 23201 23829 29187 34983 42159 69603 71487 104949 126477 182689 208809 214461 301613 379431 533623 548067 626427 904839 1090447 1600869 1644201 2714517 3271341 3920969 4802607 4932603 6937099 8143551 9814023 11762907 14175811 14407821 20811297 25080281 29442069 35288721 42527433 62433891 75240843 90182287 105866163 127582299 184285543 187301673 225722529 270546861 326043653 382746897 552856629 677167587 811640583 978130959 1658569887 2434921749 2934392877 4238567489 4975709661 8803178631 12715702467 38147107401 114441322203