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300020012001 = 3237900960997
BaseRepresentation
bin1000101110110101001…
…01100001001111100001
31001200101220120202001100
410113122211201033201
514403420110341001
6345454410025013
730450530011353
oct4273245411741
91050356522040
10300020012001
11106268525646
124a190118169
13223a4017628
1410741a710d3
157c0e313586
hex45da9613e1

300020012001 has 12 divisors (see below), whose sum is σ = 445074733012. Its totient is φ = 194607575136.

The previous prime is 300020011997. The next prime is 300020012003. The reversal of 300020012001 is 100210020003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 268141694976 + 31878317025 = 517824^2 + 178545^2 .

It is not a de Polignac number, because 300020012001 - 22 = 300020011997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300020012003) 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 11 ways as a sum of consecutive naturals, for example, 450480166 + ... + 450480831.

Almost surely, 2300020012001 is an apocalyptic number.

It is an amenable number.

300020012001 is a deficient number, since it is larger than the sum of its proper divisors (145054721011).

300020012001 is a wasteful number, since it uses less digits than its factorization.

300020012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900961040 (or 900961037 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300020012001 its reverse (100210020003), we get a palindrome (400230032004).

The spelling of 300020012001 in words is "three hundred billion, twenty million, twelve thousand, one".

Divisors: 1 3 9 37 111 333 900960997 2702882991 8108648973 33335556889 100006670667 300020012001