Search a number
-
+
22105231101 = 3331178714779
BaseRepresentation
bin10100100101100100…
…110000111011111101
32010001112220002102000
4110211210300323331
5330232414343401
614053251452513
71411534235622
oct244544607375
963045802360
1022105231101
119413910338
12434abb7139
1321138a7805
1410d9b34349
158959b8186
hex525930efd

22105231101 has 32 divisors (see below), whose sum is σ = 33826099200. Its totient is φ = 14252494320.

The previous prime is 22105231097. The next prime is 22105231117. The reversal of 22105231101 is 10113250122.

22105231101 is a `hidden beast` number, since 22 + 10 + 523 + 110 + 1 = 666.

It is not a de Polignac number, because 22105231101 - 22 = 22105231097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105231201) 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, 1488330 + ... + 1503108.

It is an arithmetic number, because the mean of its divisors is an integer number (1057065600).

Almost surely, 222105231101 is an apocalyptic number.

It is an amenable number.

22105231101 is a deficient number, since it is larger than the sum of its proper divisors (11720868099).

22105231101 is a wasteful number, since it uses less digits than its factorization.

22105231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16606 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 22105231101 its reverse (10113250122), we get a palindrome (32218481223).

The spelling of 22105231101 in words is "twenty-two billion, one hundred five million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 27 31 93 279 837 1787 5361 14779 16083 44337 48249 55397 133011 166191 399033 458149 498573 1374447 1495719 4123341 12370023 26410073 79230219 237690657 713071971 818712263 2456136789 7368410367 22105231101