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12201002085 = 351764517417
BaseRepresentation
bin10110101110011110…
…01000010001100101
31011111022100010101010
423113033020101211
5144441424031320
65334405452433
7611231543436
oct132717102145
934438303333
1012201002085
1151a11694a8
122446111119
1311c59acc7c
1483a5c148d
154b6226ae0
hex2d73c8465

12201002085 has 32 divisors (see below), whose sum is σ = 20675924352. Its totient is φ = 6122649600.

The previous prime is 12201002063. The next prime is 12201002087. The reversal of 12201002085 is 58020010221.

It is a happy number.

12201002085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12201002085 - 25 = 12201002053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201002087) 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 31 ways as a sum of consecutive naturals, for example, 1641297 + ... + 1648713.

It is an arithmetic number, because the mean of its divisors is an integer number (646122636).

Almost surely, 212201002085 is an apocalyptic number.

12201002085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12201002085 is a deficient number, since it is larger than the sum of its proper divisors (8474922267).

12201002085 is a wasteful number, since it uses less digits than its factorization.

12201002085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893.

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 12201002085 in words is "twelve billion, two hundred one million, two thousand, eighty-five".

Divisors: 1 3 5 15 17 51 85 255 6451 7417 19353 22251 32255 37085 96765 109667 111255 126089 329001 378267 548335 630445 1645005 1891335 47847067 143541201 239235335 717706005 813400139 2440200417 4067000695 12201002085