Search a number
-
+
110103322131 = 32112378930703
BaseRepresentation
bin110011010001010101…
…0110101111000010011
3101112012021211021200200
41212202222311320103
53300442422302011
6122325240150243
710645314540105
oct1464252657023
9345167737620
10110103322131
1142770500600
1219409468383
13a4c8a3486a
145486bdb575
152ce6206856
hex19a2ab5e13

110103322131 has 72 divisors (see below), whose sum is σ = 181558278720. Its totient is φ = 64194197760.

The previous prime is 110103322127. The next prime is 110103322141. The reversal of 110103322131 is 131223301011.

110103322131 is a `hidden beast` number, since 110 + 10 + 332 + 213 + 1 = 666.

It is not a de Polignac number, because 110103322131 - 22 = 110103322127 is a prime.

It is a super-2 number, since 2×1101033221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110103322141) 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 71 ways as a sum of consecutive naturals, for example, 3570726 + ... + 3601428.

It is an arithmetic number, because the mean of its divisors is an integer number (2521642760).

Almost surely, 2110103322131 is an apocalyptic number.

110103322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110103322131 is a deficient number, since it is larger than the sum of its proper divisors (71454956589).

110103322131 is a wasteful number, since it uses less digits than its factorization.

110103322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30857 (or 30843 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110103322131 its reverse (131223301011), we get a palindrome (241326623142).

It can be divided in two parts, 110103 and 322131, that added together give a palindrome (432234).

The spelling of 110103322131 in words is "one hundred ten billion, one hundred three million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 89 99 111 121 267 333 363 407 801 979 1089 1221 2937 3293 3663 4477 8811 9879 10769 13431 29637 30703 32307 36223 40293 92109 96921 108669 276327 326007 337733 398453 1013199 1136011 1195359 2732567 3039597 3408033 3586077 3715063 8197701 10224099 11145189 12496121 24593103 30058237 33435567 37488363 90174711 101104979 112465089 137457331 270524133 303314937 330640607 412371993 909944811 991921821 1112154769 1237115979 2975765463 3336464307 10009392921 12233702459 36701107377 110103322131