Search a number
-
+
22102033033213 = 731731122272133
BaseRepresentation
bin1010000011010000001111…
…10100111110011111111101
32220020221012200110111010221
411001220013310332133331
510344104430424030323
6115001311145101341
74440550661011000
oct501500764763775
986227180414127
1022102033033213
1170514684a2961
12258b632187851
13c4429c5c9673
14565a5bb85537
15284dd07d855d
hex141a07d3e7fd

22102033033213 has 32 divisors (see below), whose sum is σ = 28171499673600. Its totient is φ = 17255043267840.

The previous prime is 22102033033189. The next prime is 22102033033273. The reversal of 22102033033213 is 31233033020122.

It is not a de Polignac number, because 22102033033213 - 225 = 22101999478781 is a prime.

It is a super-2 number, since 2×221020330332132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102033033273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60955306 + ... + 61316827.

It is an arithmetic number, because the mean of its divisors is an integer number (880359364800).

Almost surely, 222102033033213 is an apocalyptic number.

It is an amenable number.

22102033033213 is a deficient number, since it is larger than the sum of its proper divisors (6069466640387).

22102033033213 is a wasteful number, since it uses less digits than its factorization.

22102033033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122272202 (or 122272188 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 22102033033213 its reverse (31233033020122), we get a palindrome (53335066053335).

The spelling of 22102033033213 in words is "twenty-two trillion, one hundred two billion, thirty-three million, thirty-three thousand, two hundred thirteen".

Divisors: 1 7 17 31 49 119 217 343 527 833 1519 3689 5831 10633 25823 180761 122272133 855904931 2078626261 3790436123 5991334517 14550383827 26533052861 41939341619 64437414091 101852686789 185731370027 451061898637 712968807523 1300119590189 3157433290459 22102033033213