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3000200410000 = 2454300020041
BaseRepresentation
bin101011101010001001111…
…000010011001110010000
3101121211001010101011021201
4223222021320103032100
5343123402301110000
610214134551000544
7426520522466563
oct53521170231620
911554033334251
103000200410000
11a57417a09782
12405561069154
13189bc11cb9c1
14a52d37844da
155309712e96a
hex2ba89e13390

3000200410000 has 50 divisors (see below), whose sum is σ = 7263785236862. Its totient is φ = 1200080160000.

The previous prime is 3000200409989. The next prime is 3000200410007. The reversal of 3000200410000 is 140020003.

It can be written as a sum of positive squares in 5 ways, for example, as 1305735865344 + 1694464544656 = 1142688^2 + 1301716^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3000200410007) 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 9 ways as a sum of consecutive naturals, for example, 150000021 + ... + 150020020.

Almost surely, 23000200410000 is an apocalyptic number.

It is an amenable number.

3000200410000 is an abundant number, since it is smaller than the sum of its proper divisors (4263584826862).

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

3000200410000 is an equidigital number, since it uses as much as digits as its factorization.

3000200410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300020069 (or 300020048 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 3000200410000 its reverse (140020003), we get a palindrome (3000340430003).

The spelling of 3000200410000 in words is "three trillion, two hundred million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 300020041 600040082 1200080164 1500100205 2400160328 3000200410 4800320656 6000400820 7500501025 12000801640 15001002050 24001603280 30002004100 37502505125 60004008200 75005010250 120008016400 150010020500 187512525625 300020041000 375025051250 600040082000 750050102500 1500100205000 3000200410000