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110001323223 = 321141208912973
BaseRepresentation
bin110011001110010010…
…1101111110011010111
3101111221011220012111100
41212130211233303113
53300240314320343
6122311154041143
710642635551151
oct1463445576327
9344834805440
10110001323223
1142718974290
121939b2791b3
13a4b087128c
145477449ad1
152cdc2a99d3
hex199c96fcd7

110001323223 has 48 divisors (see below), whose sum is σ = 177661804320. Its totient is φ = 65005286400.

The previous prime is 110001323219. The next prime is 110001323239. The reversal of 110001323223 is 322323100011.

It is not a de Polignac number, because 110001323223 - 22 = 110001323219 is a prime.

It is a super-2 number, since 2×1100013232232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110001323196 and 110001323205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001323623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8472765 + ... + 8485737.

It is an arithmetic number, because the mean of its divisors is an integer number (3701287590).

Almost surely, 2110001323223 is an apocalyptic number.

110001323223 is a deficient number, since it is larger than the sum of its proper divisors (67660481097).

110001323223 is a wasteful number, since it uses less digits than its factorization.

110001323223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110001323223 its reverse (322323100011), we get a palindrome (432324423234).

The spelling of 110001323223 in words is "one hundred ten billion, one million, three hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 2089 4059 6267 12973 18801 22979 38919 68937 85649 116757 142703 206811 256947 428109 531893 770841 942139 1284327 1595679 2826417 4787037 5850823 8479251 17552469 27100597 52657407 81301791 243905373 298106567 894319701 1111124477 2682959103 3333373431 10000120293 12222369247 36667107741 110001323223