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1001300301 = 32617180317
BaseRepresentation
bin111011101011101…
…010000101001101
32120210010022210100
4323223222011031
54022313102201
6243205201313
733545624601
oct7353520515
92523108710
101001300301
11474231811
1223b400239
1312c5a3cb1
1496da9501
155cd8b886
hex3baea14d

1001300301 has 12 divisors (see below), whose sum is σ = 1448674812. Its totient is φ = 666447936.

The previous prime is 1001300281. The next prime is 1001300309. The reversal of 1001300301 is 1030031001.

It can be written as a sum of positive squares in 2 ways, for example, as 37197801 + 964102500 = 6099^2 + 31050^2 .

It is not a de Polignac number, because 1001300301 - 211 = 1001298253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001300309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84606 + ... + 95711.

It is an arithmetic number, because the mean of its divisors is an integer number (120722901).

Almost surely, 21001300301 is an apocalyptic number.

It is an amenable number.

1001300301 is a deficient number, since it is larger than the sum of its proper divisors (447374511).

1001300301 is a wasteful number, since it uses less digits than its factorization.

1001300301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180940 (or 180937 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1001300301 is about 31643.3294866390. The cubic root of 1001300301 is about 1000.4332459375.

Adding to 1001300301 its reverse (1030031001), we get a palindrome (2031331302).

The spelling of 1001300301 in words is "one billion, one million, three hundred thousand, three hundred one".

Divisors: 1 3 9 617 1851 5553 180317 540951 1622853 111255589 333766767 1001300301