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110013231321 = 357440914669
BaseRepresentation
bin110011001110101001…
…1001011000011011001
3101111222000022012100000
41212131103023003121
53300301341400241
6122312301203213
710643142015510
oct1463523130331
9344860265300
10110013231321
1142724667a94
12193a3260509
13a4b31804a6
145478c69677
152cdd35ceb6
hex199d4cb0d9

110013231321 has 48 divisors (see below), whose sum is σ = 188390966400. Its totient is φ = 62846160768.

The previous prime is 110013231259. The next prime is 110013231331. The reversal of 110013231321 is 123132310011.

110013231321 is a `hidden beast` number, since 1 + 100 + 13 + 231 + 321 = 666.

It is not a de Polignac number, because 110013231321 - 215 = 110013198553 is a prime.

It is a super-2 number, since 2×1100132313212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110013231294 and 110013231303.

It is not an unprimeable number, because it can be changed into a prime (110013231331) 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 47 ways as a sum of consecutive naturals, for example, 7492375 + ... + 7507043.

It is an arithmetic number, because the mean of its divisors is an integer number (3924811800).

Almost surely, 2110013231321 is an apocalyptic number.

It is an amenable number.

110013231321 is a deficient number, since it is larger than the sum of its proper divisors (78377735079).

110013231321 is an equidigital number, since it uses as much as digits as its factorization.

110013231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19088 counting only the distinct ones).

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

Adding to 110013231321 its reverse (123132310011), we get a palindrome (233145541332).

The spelling of 110013231321 in words is "one hundred ten billion, thirteen million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 4409 13227 14669 30863 39681 44007 92589 102683 119043 132021 277767 308049 357129 396063 833301 924147 1071387 1188189 2499903 2772441 3564567 7499709 8317323 24951969 64675621 194026863 452729347 582080589 1358188041 1746241767 4074564123 5238725301 12223692369 15716175903 36671077107 110013231321