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1001300000 = 2555171931
BaseRepresentation
bin111011101011101…
…010000000100000
32120210010022101012
4323223222000200
54022313100000
6243205200052
733545623661
oct7353520040
92523108335
101001300000
11474231568
1223b400028
1312c5a3b0c
1496da9368
155cd8b735
hex3baea020

1001300000 has 288 divisors, whose sum is σ = 2834818560. Its totient is φ = 345600000.

The previous prime is 1001299997. The next prime is 1001300011. The reversal of 1001300000 is 31001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32299985 + ... + 32300015.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 21001300000 is an apocalyptic number.

1001300000 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 1001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1001300000 is an abundant number, since it is smaller than the sum of its proper divisors (1833518560).

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

1001300000 is an equidigital number, since it uses as much as digits as its factorization.

1001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1001300000 is about 31643.3247305020. The cubic root of 1001300000 is about 1000.4331456911.

Adding to 1001300000 its reverse (31001), we get a palindrome (1001331001).

The spelling of 1001300000 in words is "one billion, one million, three hundred thousand".