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11331300321 = 32111071069697
BaseRepresentation
bin10101000110110010…
…11110101111100001
31002020200211200211200
422203121132233201
5141201303102241
65112221031413
7550541314665
oct124331365741
932220750750
1011331300321
114895250710
1222429b5569
1310b7764243
14796cb08a5
15464bd24b6
hex2a365ebe1

11331300321 has 24 divisors (see below), whose sum is σ = 18022271904. Its totient is φ = 6803266560.

The previous prime is 11331300319. The next prime is 11331300349. The reversal of 11331300321 is 12300313311.

It is a happy number.

11331300321 is a `hidden beast` number, since 1 + 1 + 331 + 300 + 32 + 1 = 666.

It is not a de Polignac number, because 11331300321 - 21 = 11331300319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331300294 and 11331300303.

It is not an unprimeable number, because it can be changed into a prime (11331300521) 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 23 ways as a sum of consecutive naturals, for example, 524256 + ... + 545441.

It is an arithmetic number, because the mean of its divisors is an integer number (750927996).

Almost surely, 211331300321 is an apocalyptic number.

11331300321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331300321 is a deficient number, since it is larger than the sum of its proper divisors (6690971583).

11331300321 is a wasteful number, since it uses less digits than its factorization.

11331300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069821 (or 1069818 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331300321 its reverse (12300313311), we get a palindrome (23631613632).

The spelling of 11331300321 in words is "eleven billion, three hundred thirty-one million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 107 321 963 1177 3531 10593 1069697 3209091 9627273 11766667 35300001 105900003 114457579 343372737 1030118211 1259033369 3777100107 11331300321