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11331132001313 = 5327335503229
BaseRepresentation
bin1010010011100011110000…
…0110010000110000100001
31111010020122001221020022012
42210320330012100300201
52441122124243020223
640033241123322305
72246435004563135
oct244707406206041
944106561836265
1011331132001313
113679562681613
121330071220395
136426a0cc15c7
142b26031d13c5
15149b37049c78
hexa4e3c190c21

11331132001313 has 12 divisors (see below), whose sum is σ = 11564718657660. Its totient is φ = 11102168141376.

The previous prime is 11331132001307. The next prime is 11331132001327. The reversal of 11331132001313 is 31310023113311.

It can be written as a sum of positive squares in 6 ways, for example, as 339036023824 + 10992095977489 = 582268^2 + 3315433^2 .

It is not a de Polignac number, because 11331132001313 - 214 = 11331131984929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11331132001303) 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 11 ways as a sum of consecutive naturals, for example, 692618 + ... + 4810611.

It is an arithmetic number, because the mean of its divisors is an integer number (963726554805).

Almost surely, 211331132001313 is an apocalyptic number.

It is an amenable number.

11331132001313 is a deficient number, since it is larger than the sum of its proper divisors (233586656347).

11331132001313 is an frugal number, since it uses more digits than its factorization.

11331132001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504068 (or 5504015 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331132001313 its reverse (31310023113311), we get a palindrome (42641155114624).

The spelling of 11331132001313 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one thousand, three hundred thirteen".

Divisors: 1 53 733 2809 38849 2058997 5503229 291671137 4033866857 15458570261 213794943421 11331132001313