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2012202101201 = 3721579361997
BaseRepresentation
bin11101010010000000100…
…101110110100111010001
321010100211211020211001012
4131102000211312213101
5230431442214214301
64140220510220305
7265243146440105
oct35220045664721
97110754224035
102012202101201
117064086a0046
12285b8a4b4695
1311799953a6b6
146d569279905
153751e36eebb
hex1d4809769d1

2012202101201 has 12 divisors (see below), whose sum is σ = 2081228327388. Its totient is φ = 1945347872832.

The previous prime is 2012202101183. The next prime is 2012202101227. The reversal of 2012202101201 is 1021012022102.

It can be written as a sum of positive squares in 6 ways, for example, as 6511683025 + 2005690418176 = 80695^2 + 1416224^2 .

It is not a de Polignac number, because 2012202101201 - 26 = 2012202101137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012202101281) 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, 4466066 + ... + 4895931.

It is an arithmetic number, because the mean of its divisors is an integer number (173435693949).

Almost surely, 22012202101201 is an apocalyptic number.

It is an amenable number.

2012202101201 is a deficient number, since it is larger than the sum of its proper divisors (69026226187).

2012202101201 is an equidigital number, since it uses as much as digits as its factorization.

2012202101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362228 (or 9362191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012202101201 its reverse (1021012022102), we get a palindrome (3033214123303).

The spelling of 2012202101201 in words is "two trillion, twelve billion, two hundred two million, one hundred one thousand, two hundred one".

Divisors: 1 37 157 1369 5809 214933 9361997 346393889 1469833529 12816573893 54383840573 2012202101201