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22211103321 = 3211881254659
BaseRepresentation
bin10100101011111000…
…101000101001011001
32010022221002221210100
4110223320220221121
5330442020301241
614111553010013
71414261156161
oct245370505131
963287087710
1022211103321
119468652740
12437a553909
13212c7c60b4
141109c135a1
1589ee2c9b6
hex52be28a59

22211103321 has 24 divisors (see below), whose sum is σ = 35039178720. Its totient is φ = 13445942400.

The previous prime is 22211103319. The next prime is 22211103323. The reversal of 22211103321 is 12330111222.

22211103321 is a `hidden beast` number, since 2 + 221 + 110 + 332 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22211103319) and next prime (22211103323).

It is not a de Polignac number, because 22211103321 - 21 = 22211103319 is a prime.

It is a super-2 number, since 2×222111033212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22211103294 and 22211103303.

It is not an unprimeable number, because it can be changed into a prime (22211103323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40111 + ... + 214548.

It is an arithmetic number, because the mean of its divisors is an integer number (1459965780).

Almost surely, 222211103321 is an apocalyptic number.

It is an amenable number.

22211103321 is a deficient number, since it is larger than the sum of its proper divisors (12828075399).

22211103321 is a wasteful number, since it uses less digits than its factorization.

22211103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255557 (or 255554 counting only the distinct ones).

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

Adding to 22211103321 its reverse (12330111222), we get a palindrome (34541214543).

The spelling of 22211103321 in words is "twenty-two billion, two hundred eleven million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 881 2643 7929 9691 29073 87219 254659 763977 2291931 2801249 8403747 25211241 224354579 673063737 2019191211 2467900369 7403701107 22211103321