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11023231321200 = 2435273301397543
BaseRepresentation
bin1010000001101000101111…
…0010011000010001110000
31110000210212221111001221010
42200122023302120101300
52421101034204234300
635240000315230520
72215254643150620
oct240321362302160
943023787431833
1011023231321200
11356aa2078441a
1212a0461a48440
1361c6423b5967
142a1754a7a880
15141b15e5da50
hexa068bc98470

11023231321200 has 240 divisors, whose sum is σ = 40367851736576. Its totient is φ = 2518826112000.

The previous prime is 11023231321189. The next prime is 11023231321217. The reversal of 11023231321200 is 212313232011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27529629 + ... + 27927171.

Almost surely, 211023231321200 is an apocalyptic number.

11023231321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023231321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183925868288).

11023231321200 is an abundant number, since it is smaller than the sum of its proper divisors (29344620415376).

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

11023231321200 is a wasteful number, since it uses less digits than its factorization.

11023231321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400872 (or 400861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11023231321200 its reverse (212313232011), we get a palindrome (11235544553211).

The spelling of 11023231321200 in words is "eleven trillion, twenty-three billion, two hundred thirty-one million, three hundred twenty-one thousand, two hundred".