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300012660000 = 253754193
BaseRepresentation
bin1000101110110100010…
…01011110010100100000
31001200101101202020000000
410113122021132110200
514403411220110000
6345453544300000
730450410351064
oct4273211362440
91050341666000
10300012660000
11106264363a09
124a189771600
13223a2642131
1410740ab9aa4
157c0d860000
hex45da25e520

300012660000 has 960 divisors, whose sum is σ = 1168433481600. Its totient is φ = 75792672000.

The previous prime is 300012659983. The next prime is 300012660029. The reversal of 300012660000 is 66210003.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

300012660000 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 1 + 2 + 660 + 0 + 0 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8550 × 5130 × 6840.

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 159 ways as a sum of consecutive naturals, for example, 15790139991 + ... + 15790140009.

It is an arithmetic number, because the mean of its divisors is an integer number (1217118210).

Almost surely, 2300012660000 is an apocalyptic number.

300012660000 is a gapful number since it is divisible by the number (30) 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 300012660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584216740800).

300012660000 is an abundant number, since it is smaller than the sum of its proper divisors (868420821600).

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

300012660000 is an frugal number, since it uses more digits than its factorization.

300012660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300012660000 its reverse (66210003), we get a palindrome (300078870003).

The spelling of 300012660000 in words is "three hundred billion, twelve million, six hundred sixty thousand".