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10010220211221 = 3175335571041151
BaseRepresentation
bin1001000110101010111110…
…0111101010110000010101
31022102222010110100202221220
42101222233213222300111
52303001412333224341
633142344235400553
72052133405612416
oct221525747526025
938388113322856
1010010220211221
11320a346385a7a
12115806a5b3159
13577c62658599
142686d661580d
151255c72eda66
hex91aaf9eac15

10010220211221 has 32 divisors (see below), whose sum is σ = 14402780356608. Its totient is φ = 6160676121600.

The previous prime is 10010220211193. The next prime is 10010220211223. The reversal of 10010220211221 is 12211202201001.

It is not a de Polignac number, because 10010220211221 - 26 = 10010220211157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010220211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010220211223) 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 31 ways as a sum of consecutive naturals, for example, 9093996 + ... + 10135146.

It is an arithmetic number, because the mean of its divisors is an integer number (450086886144).

Almost surely, 210010220211221 is an apocalyptic number.

It is an amenable number.

10010220211221 is a deficient number, since it is larger than the sum of its proper divisors (4392560145387).

10010220211221 is a wasteful number, since it uses less digits than its factorization.

10010220211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044781.

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

Adding to 10010220211221 its reverse (12211202201001), we get a palindrome (22221422412222).

The spelling of 10010220211221 in words is "ten trillion, ten billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 17 51 53 159 901 2703 3557 10671 60469 181407 188521 565563 1041151 3123453 3204857 9614571 17699567 53098701 55181003 165543009 938077051 2814231153 3703374107 11110122321 62957359819 188872079457 196278827671 588836483013 3336740070407 10010220211221