Search a number
-
+
21222010201101 = 3371311801810361
BaseRepresentation
bin1001101001101001000100…
…11000010010010000001101
32210010210201101020200101120
410310310202120102100031
510240200134102413401
6113045131253431153
74320145124241303
oct464644230222015
983123641220346
1021222010201101
116842227557a76
122468b7433b4b9
13bac2c4882978
14535217a20273
1526c077017836
hex134d2261240d

21222010201101 has 32 divisors (see below), whose sum is σ = 29298903908736. Its totient is φ = 13652945280000.

The previous prime is 21222010201087. The next prime is 21222010201129. The reversal of 21222010201101 is 10110201022212.

It is not a de Polignac number, because 21222010201101 - 213 = 21222010192909 is a prime.

It is a super-4 number, since 4×212220102011014 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222010201141) 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 31 ways as a sum of consecutive naturals, for example, 25783161 + ... + 26593521.

It is an arithmetic number, because the mean of its divisors is an integer number (915590747148).

Almost surely, 221222010201101 is an apocalyptic number.

It is an amenable number.

21222010201101 is a deficient number, since it is larger than the sum of its proper divisors (8076893707635).

21222010201101 is a wasteful number, since it uses less digits than its factorization.

21222010201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812333.

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

Adding to 21222010201101 its reverse (10110201022212), we get a palindrome (31332211223313).

The spelling of 21222010201101 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, two hundred one thousand, one hundred one".

Divisors: 1 3 37 111 131 393 1801 4847 5403 14541 66637 199911 235931 707793 810361 2431083 8729447 26188341 29983357 89950071 106157291 318471873 1459460161 3927819767 4378380483 11783459301 54000025957 162000077871 191189281091 573567843273 7074003400367 21222010201101