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110122322121 = 3472101274709
BaseRepresentation
bin110011010001111001…
…1010100100011001001
3101112020121120120210000
41212203303110203021
53301012303301441
6122331155313213
710645635202500
oct1464363244311
9345217516700
10110122322121
11427801a8579
12194138ab809
13a4cc957a66
145489545837
152ce7c0b2b6
hex19a3cd48c9

110122322121 has 60 divisors (see below), whose sum is σ = 193256836740. Its totient is φ = 62303774400.

The previous prime is 110122322119. The next prime is 110122322131. The reversal of 110122322121 is 121223221011.

It can be written as a sum of positive squares in 2 ways, for example, as 82710884025 + 27411438096 = 287595^2 + 165564^2 .

It is not a de Polignac number, because 110122322121 - 21 = 110122322119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110122322094 and 110122322103.

It is not an unprimeable number, because it can be changed into a prime (110122322111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 263515 + ... + 538223.

It is an arithmetic number, because the mean of its divisors is an integer number (3220947279).

Almost surely, 2110122322121 is an apocalyptic number.

It is an amenable number.

110122322121 is a deficient number, since it is larger than the sum of its proper divisors (83134514619).

110122322121 is a wasteful number, since it uses less digits than its factorization.

110122322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274836 (or 274820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110122322121 its reverse (121223221011), we get a palindrome (231345543132).

The spelling of 110122322121 in words is "one hundred ten billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 101 147 189 303 441 567 707 909 1323 2121 2727 3969 4949 6363 8181 14847 19089 44541 57267 133623 274709 400869 824127 1922963 2472381 5768889 7417143 13460741 17306667 22251429 27745609 40382223 51920001 83236827 121146669 155760003 194219263 249710481 363440007 582657789 749131443 1090320021 1359534841 1747973367 2247394329 4078604523 5243920101 12235813569 15731760303 36707440707 110122322121