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11331132210312 = 233472130508763
BaseRepresentation
bin1010010011100011110000…
…0111000011110010001000
31111010020122002022211222220
42210320330013003302020
52441122124321212222
640033241132014040
72246435006423355
oct244707407036210
944106562284886
1011331132210312
113679562804642
121330071301320
136426a1065785
142b260324762c
15149b3708bb5c
hexa4e3c1c3c88

11331132210312 has 16 divisors (see below), whose sum is σ = 28327830525840. Its totient is φ = 3777044070096.

The previous prime is 11331132210289. The next prime is 11331132210319. The reversal of 11331132210312 is 21301223113311.

It is a super-2 number, since 2×113311322103122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 472130508763 = 11331132210312 / (1 + 1 + 3 + 3 + 1 + 1 + 3 + 2 + 2 + 1 + 0 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (11331132210319) 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 3 ways as a sum of consecutive naturals, for example, 236065254358 + ... + 236065254405.

It is an arithmetic number, because the mean of its divisors is an integer number (1770489407865).

Almost surely, 211331132210312 is an apocalyptic number.

11331132210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331132210312 is an abundant number, since it is smaller than the sum of its proper divisors (16996698315528).

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

11331132210312 is a wasteful number, since it uses less digits than its factorization.

11331132210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472130508772 (or 472130508768 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331132210312 its reverse (21301223113311), we get a palindrome (32632355323623).

The spelling of 11331132210312 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 472130508763 944261017526 1416391526289 1888522035052 2832783052578 3777044070104 5665566105156 11331132210312