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11331131312196 = 2232314753647561
BaseRepresentation
bin1010010011100011110000…
…0011101000100001000100
31111010020122000122020000100
42210320330003220201010
52441122124103442241
640033241100444100
72246434665663063
oct244707403504104
944106560566010
1011331131312196
1136795622508a3
121330070b49630
136426a0b0ca47
142b26030921da
15149b36e609b6
hexa4e3c0e8844

11331131312196 has 18 divisors (see below), whose sum is σ = 28642581928142. Its totient is φ = 3777043770720.

The previous prime is 11331131312183. The next prime is 11331131312203. The reversal of 11331131312196 is 69121313113311.

11331131312196 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 313 + 1 + 21 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10541190758400 + 789940553796 = 3246720^2 + 888786^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 314753647561 = 11331131312196 / (1 + 1 + 3 + 3 + 1 + 1 + 3 + 1 + 3 + 1 + 2 + 1 + 9 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131312196.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 157376823745 + ... + 157376823816.

Almost surely, 211331131312196 is an apocalyptic number.

It is an amenable number.

11331131312196 is an abundant number, since it is smaller than the sum of its proper divisors (17311450615946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331131312196 is a wasteful number, since it uses less digits than its factorization.

11331131312196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314753647571 (or 314753647566 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The spelling of 11331131312196 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 314753647561 629507295122 944260942683 1259014590244 1888521885366 2832782828049 3777043770732 5665565656098 11331131312196