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1004422200201 = 3273325371623
BaseRepresentation
bin11101001110111000011…
…10100111101110001001
310120000120220120110201200
432213130032213232021
5112424024040401301
62045231501334413
7132365342556000
oct16473416475611
93500526513650
101004422200201
11357a78168402
121427b6b67409
1373941502554
143688589dc37
151b1d9ad7c86
hexe9dc3a7b89

1004422200201 has 24 divisors (see below), whose sum is σ = 1691932444800. Its totient is φ = 573955541208.

The previous prime is 1004422200169. The next prime is 1004422200209. The reversal of 1004422200201 is 1020022244001.

1004422200201 is a `hidden beast` number, since 1 + 0 + 0 + 442 + 2 + 20 + 0 + 201 = 666.

It is not a de Polignac number, because 1004422200201 - 25 = 1004422200169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004422200209) 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 23 ways as a sum of consecutive naturals, for example, 162682725 + ... + 162688898.

It is an arithmetic number, because the mean of its divisors is an integer number (70497185200).

Almost surely, 21004422200201 is an apocalyptic number.

It is an amenable number.

1004422200201 is a deficient number, since it is larger than the sum of its proper divisors (687510244599).

1004422200201 is an equidigital number, since it uses as much as digits as its factorization.

1004422200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325371650 (or 325371633 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1004422200201 its reverse (1020022244001), we get a palindrome (2024444444202).

The spelling of 1004422200201 in words is "one trillion, four billion, four hundred twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 325371623 976114869 2277601361 2928344607 6832804083 15943209527 20498412249 47829628581 111602466689 143488885743 334807400067 1004422200201