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12303000100200 = 23352433323143503
BaseRepresentation
bin1011001100001000001111…
…1100110101110101101000
31121120011012020020000022210
42303002003330311311220
53103033021011201300
642055530433445120
72406601545245565
oct263020374656550
947504166200283
1012303000100200
113a137448aa857
1214684a1a107a0
136b3224c394c4
1430767b35186c
15165068b93050
hexb3083f35d68

12303000100200 has 192 divisors, whose sum is σ = 39038277104640. Its totient is φ = 3203515687680.

The previous prime is 12303000100147. The next prime is 12303000100207. The reversal of 12303000100200 is 200100030321.

It is a happy number.

12303000100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123030001002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12303000100207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85661649 + ... + 85805151.

It is an arithmetic number, because the mean of its divisors is an integer number (203324359920).

Almost surely, 212303000100200 is an apocalyptic number.

12303000100200 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 12303000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519138552320).

12303000100200 is an abundant number, since it is smaller than the sum of its proper divisors (26735277004440).

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

12303000100200 is a wasteful number, since it uses less digits than its factorization.

12303000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146888 (or 146879 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12303000100200 its reverse (200100030321), we get a palindrome (12503100130521).

The spelling of 12303000100200 in words is "twelve trillion, three hundred three billion, one hundred thousand, two hundred".