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11331321122105 = 541653111775781
BaseRepresentation
bin1010010011100100011101…
…0111101100110100111001
31111010021010020210120020222
42210321013113230310321
52441123021201401410
640033312001025425
72246442462226535
oct244710727546471
944107106716228
1011331321122105
11367964a403896
121330104625275
13642701239aba
142b2620380bc5
15149b48955955
hexa4e475ecd39

11331321122105 has 32 divisors (see below), whose sum is σ = 13963238479008. Its totient is φ = 8822392473600.

The previous prime is 11331321122101. The next prime is 11331321122113. The reversal of 11331321122105 is 50122112313311.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10715271949561 + 616049172544 = 3273419^2 + 784888^2 .

It is not a de Polignac number, because 11331321122105 - 22 = 11331321122101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331321122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149489315 + ... + 149565095.

It is an arithmetic number, because the mean of its divisors is an integer number (436351202469).

Almost surely, 211331321122105 is an apocalyptic number.

It is an amenable number.

11331321122105 is a deficient number, since it is larger than the sum of its proper divisors (2631917356903).

11331321122105 is a wasteful number, since it uses less digits than its factorization.

11331321122105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77597.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 11331321122105 its reverse (50122112313311), we get a palindrome (61453433435416).

The spelling of 11331321122105 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 5 41 205 653 1117 3265 5585 26773 45797 75781 133865 228985 378905 729401 3107021 3647005 15535105 29905441 49484993 84647377 149527205 247424965 423236885 2028884713 3470542457 10144423565 17352712285 55274737181 276373685905 2266264224421 11331321122105