Search a number
-
+
22102012122021 = 3213353535144721
BaseRepresentation
bin1010000011010000001101…
…00101001101001110100101
32220020221011020010002101100
411001220012211031032211
510344104410100401041
6115001305120550313
74440550315165266
oct501500645151645
986227136102340
1022102012122021
11705145770aa87
12258b627182399
13c44298187590
14565a590a096d
15284dcda576b6
hex141a0694d3a5

22102012122021 has 24 divisors (see below), whose sum is σ = 34478304149016. Its totient is φ = 13562707783680.

The previous prime is 22102012122013. The next prime is 22102012122083. The reversal of 22102012122021 is 12022121020122.

It is a happy number.

22102012122021 is a `hidden beast` number, since 2 + 210 + 201 + 212 + 20 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 892809552996 + 21209202569025 = 944886^2 + 4605345^2 .

It is not a de Polignac number, because 22102012122021 - 23 = 22102012122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22102012121985 and 22102012122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102012122121) 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 23 ways as a sum of consecutive naturals, for example, 267531060 + ... + 267613661.

It is an arithmetic number, because the mean of its divisors is an integer number (1436596006209).

Almost surely, 222102012122021 is an apocalyptic number.

It is an amenable number.

22102012122021 is a deficient number, since it is larger than the sum of its proper divisors (12376292026995).

22102012122021 is a wasteful number, since it uses less digits than its factorization.

22102012122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535145093 (or 535145090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102012122021 its reverse (12022121020122), we get a palindrome (34124133142143).

The spelling of 22102012122021 in words is "twenty-two trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 13 39 117 353 1059 3177 4589 13767 41301 535144721 1605434163 4816302489 6956881373 20870644119 62611932357 188906086513 566718259539 1700154778617 2455779124669 7367337374007 22102012122021