Search a number
-
+
22010010011021 = 293771772858101
BaseRepresentation
bin1010000000100100110101…
…10101000000010110001101
32212221010200102220121021202
411000102122311000112031
510341103000030323041
6114451131540235245
74431112365145364
oct500223265002615
985833612817252
1022010010011021
1170164359402aa
12257582b99bb25
13c386c562c146
1456140c3187db
152827e6a4ca9b
hex14049ad4058d

22010010011021 has 16 divisors (see below), whose sum is σ = 23387620017840. Its totient is φ = 20673803404800.

The previous prime is 22010010011009. The next prime is 22010010011107. The reversal of 22010010011021 is 12011001001022.

It can be written as a sum of positive squares in 8 ways, for example, as 1599592562500 + 20410417448521 = 1264750^2 + 4517789^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010010011021 - 230 = 22008936269197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22010010010993 and 22010010011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010010041021) 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 15 ways as a sum of consecutive naturals, for example, 6271871 + ... + 9129971.

It is an arithmetic number, because the mean of its divisors is an integer number (1461726251115).

Almost surely, 222010010011021 is an apocalyptic number.

It is an amenable number.

22010010011021 is a deficient number, since it is larger than the sum of its proper divisors (1377610006819).

22010010011021 is a wasteful number, since it uses less digits than its factorization.

22010010011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865344.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22010010011021 its reverse (12011001001022), we get a palindrome (34021011012043).

Subtracting from 22010010011021 its reverse (12011001001022), we obtain a palindrome (9999009009999).

The spelling of 22010010011021 in words is "twenty-two trillion, ten billion, ten million, eleven thousand, twenty-one".

Divisors: 1 29 37 1073 7177 208133 265549 2858101 7700921 82884929 105749737 3066742373 20512590877 594865135433 758965862449 22010010011021