Search a number
-
+
2001201121020 = 223533353352017
BaseRepresentation
bin11101000111110000111…
…000011100011011111100
321002022110010222010020210
4131013300320130123330
5230241424441333040
64131201125112420
7264403425602433
oct35076070343374
97068403863223
102001201121020
11701782952892
12283a1a258710
1311693535bb7a
146cc041d211a
15370c868a480
hex1d1f0e1c6fc

2001201121020 has 24 divisors (see below), whose sum is σ = 5603363139024. Its totient is φ = 533653632256.

The previous prime is 2001201121019. The next prime is 2001201121021. The reversal of 2001201121020 is 201211021002.

It is an interprime number because it is at equal distance from previous prime (2001201121019) and next prime (2001201121021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001201120987 and 2001201121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001201121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16676675949 + ... + 16676676068.

It is an arithmetic number, because the mean of its divisors is an integer number (233473464126).

Almost surely, 22001201121020 is an apocalyptic number.

2001201121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001201121020 is an abundant number, since it is smaller than the sum of its proper divisors (3602162018004).

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

2001201121020 is a wasteful number, since it uses less digits than its factorization.

2001201121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33353352029 (or 33353352027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001201121020 its reverse (201211021002), we get a palindrome (2202412142022).

The spelling of 2001201121020 in words is "two trillion, one billion, two hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 33353352017 66706704034 100060056051 133413408068 166766760085 200120112102 333533520170 400240224204 500300280255 667067040340 1000600560510 2001201121020