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11023311321 = 32113724112487
BaseRepresentation
bin10100100010000101…
…00110000111011001
31001110020022020100200
422101002212013121
5140033431430241
65021455452413
7540111412611
oct122102460731
931406266320
1011023311321
11474740aa50
122177827109
1310689ca029
1476801ba41
15447b464b6
hex2910a61d9

11023311321 has 48 divisors (see below), whose sum is σ = 17914985088. Its totient is φ = 6472742400.

The previous prime is 11023311319. The next prime is 11023311347. The reversal of 11023311321 is 12311332011.

11023311321 is a `hidden beast` number, since 1 + 10 + 2 + 331 + 1 + 321 = 666.

It is not a de Polignac number, because 11023311321 - 21 = 11023311319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11023311294 and 11023311303.

It is not an unprimeable number, because it can be changed into a prime (11023311391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876540 + ... + 889026.

It is an arithmetic number, because the mean of its divisors is an integer number (373228856).

Almost surely, 211023311321 is an apocalyptic number.

11023311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11023311321 is a deficient number, since it is larger than the sum of its proper divisors (6891673767).

11023311321 is a wasteful number, since it uses less digits than its factorization.

11023311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12779 counting only the distinct ones).

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

Adding to 11023311321 its reverse (12311332011), we get a palindrome (23334643332).

The spelling of 11023311321 in words is "eleven billion, twenty-three million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 241 333 407 723 1221 2169 2651 3663 7953 8917 12487 23859 26751 37461 80253 98087 112383 137357 294261 412071 462019 882783 1236213 1386057 3009367 4158171 5082209 9028101 15246627 27084303 33103037 45739881 99309111 111346579 297927333 334039737 1002119211 1224812369 3674437107 11023311321