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110022321321 = 32112938321951
BaseRepresentation
bin110011001110111010…
…1110110010010101001
3101111222122102000110200
41212131311312102221
53300311203240241
6122313224102413
710643312205123
oct1463565662251
9344878360420
10110022321321
1142729806490
12193a6304a09
13a4b5013aa3
14547a154213
152cde0564b6
hex199dd764a9

110022321321 has 24 divisors (see below), whose sum is σ = 179346735360. Its totient is φ = 64380876000.

The previous prime is 110022321281. The next prime is 110022321323. The reversal of 110022321321 is 123123220011.

110022321321 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 22 + 321 + 321 = 666.

It is not a de Polignac number, because 110022321321 - 26 = 110022321257 is a prime.

It is a super-2 number, since 2×1100223213212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110022321294 and 110022321303.

It is not an unprimeable number, because it can be changed into a prime (110022321323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19158105 + ... + 19163846.

It is an arithmetic number, because the mean of its divisors is an integer number (7472780640).

Almost surely, 2110022321321 is an apocalyptic number.

110022321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110022321321 is a deficient number, since it is larger than the sum of its proper divisors (69324414039).

110022321321 is a wasteful number, since it uses less digits than its factorization.

110022321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38321997 (or 38321994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110022321321 its reverse (123123220011), we get a palindrome (233145541332).

The spelling of 110022321321 in words is "one hundred ten billion, twenty-two million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 38321951 114965853 344897559 421541461 1111336579 1264624383 3334009737 3793873149 10002029211 12224702369 36674107107 110022321321