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12303031302000 = 2433531388316411
BaseRepresentation
bin1011001100001000010111…
…0011110111011101110000
31121120011021101221020011000
42303002011303313131300
53103033102003131000
642055533510322000
72406602404411125
oct263020563673560
947504241836130
1012303031302000
113a1376048116a
1214684b0359300
136b322b5424ca
1430768155474c
1516506b7a8000
hexb3085cf7770

12303031302000 has 320 divisors, whose sum is σ = 44078052395520. Its totient is φ = 3280372128000.

The previous prime is 12303031301993. The next prime is 12303031302007. The reversal of 12303031302000 is 20313030321.

12303031302000 is a `hidden beast` number, since 1 + 2 + 30 + 303 + 130 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12303031301993) and next prime (12303031302007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303031302007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 749673795 + ... + 749690205.

It is an arithmetic number, because the mean of its divisors is an integer number (137743913736).

Almost surely, 212303031302000 is an apocalyptic number.

12303031302000 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 12303031302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039026197760).

12303031302000 is an abundant number, since it is smaller than the sum of its proper divisors (31775021093520).

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

12303031302000 is a wasteful number, since it uses less digits than its factorization.

12303031302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30326 (or 30304 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12303031302000 its reverse (20313030321), we get a palindrome (12323344332321).

The spelling of 12303031302000 in words is "twelve trillion, three hundred three billion, thirty-one million, three hundred two thousand".