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11023231110000 = 243543623101419
BaseRepresentation
bin1010000001101000101111…
…0001100100101101110000
31110000210212221002100012220
42200122023301210231300
52421101034131010000
635240000310521040
72215254641311104
oct240321361445560
943023787070186
1011023231110000
11356aa2064a77a
1212a0461966180
1361c6423407a5
142a1754a23904
15141b15e1b1a0
hexa068bc64b70

11023231110000 has 200 divisors, whose sum is σ = 35594632571520. Its totient is φ = 2938687968000.

The previous prime is 11023231109983. The next prime is 11023231110007. The reversal of 11023231110000 is 1113232011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023231110007) 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 39 ways as a sum of consecutive naturals, for example, 108639291 + ... + 108740709.

Almost surely, 211023231110000 is an apocalyptic number.

11023231110000 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 11023231110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17797316285760).

11023231110000 is an abundant number, since it is smaller than the sum of its proper divisors (24571401461520).

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

11023231110000 is a wasteful number, since it uses less digits than its factorization.

11023231110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105073 (or 105052 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11023231110000 its reverse (1113232011), we get a palindrome (11024344342011).

The spelling of 11023231110000 in words is "eleven trillion, twenty-three billion, two hundred thirty-one million, one hundred ten thousand".