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10010202211221 = 3191573593115831
BaseRepresentation
bin1001000110101010111010…
…0011000000001110010101
31022102222002012111021121020
42101222232203000032111
52303001343231224341
633142342353511353
72052133066613322
oct221525643001625
938388065437536
1010010202211221
11320a337201343
121158064572559
13577c5b9c55b4
142686d408bb49
151255c5945566
hex91aae8c0395

10010202211221 has 32 divisors (see below), whose sum is σ = 14178281932800. Its totient is φ = 6264463458240.

The previous prime is 10010202211189. The next prime is 10010202211319. The reversal of 10010202211221 is 12211220201001.

It is not a de Polignac number, because 10010202211221 - 25 = 10010202211189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010202211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010202211421) 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 31 ways as a sum of consecutive naturals, for example, 1654776 + ... + 4770606.

It is an arithmetic number, because the mean of its divisors is an integer number (443071310400).

Almost surely, 210010202211221 is an apocalyptic number.

It is an amenable number.

10010202211221 is a deficient number, since it is larger than the sum of its proper divisors (4168079721579).

10010202211221 is a wasteful number, since it uses less digits than its factorization.

10010202211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116369.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10010202211221 its reverse (12211220201001), we get a palindrome (22221422412222).

The spelling of 10010202211221 in words is "ten trillion, ten billion, two hundred two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 19 57 157 359 471 1077 2983 6821 8949 20463 56363 169089 1070897 3115831 3212691 9347493 59200789 177602367 489185467 1118583329 1467556401 3355749987 9294523873 21253083251 27883571619 63759249753 175617582653 526852747959 3336734070407 10010202211221