Search a number
-
+
2201022222021 = 327174743725733
BaseRepresentation
bin100000000001110111001…
…001011100111011000101
321210102020000121210110100
4200001313021130323011
5242030143142101041
64403045144514313
7315006245125140
oct40016711347305
97712200553410
102201022222021
117794a2733577
122b66a5a7b999
1312c72b5a133c
147875c625057
153c3c10726b6
hex2007725cec5

2201022222021 has 48 divisors (see below), whose sum is σ = 3929019554304. Its totient is φ = 1158556995072.

The previous prime is 2201022222013. The next prime is 2201022222043. The reversal of 2201022222021 is 1202222201022.

2201022222021 is a `hidden beast` number, since 2 + 201 + 0 + 222 + 220 + 21 = 666.

It is not a de Polignac number, because 2201022222021 - 23 = 2201022222013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201022221985 and 2201022222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201022222001) 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 47 ways as a sum of consecutive naturals, for example, 21812530 + ... + 21913203.

It is an arithmetic number, because the mean of its divisors is an integer number (81854574048).

Almost surely, 22201022222021 is an apocalyptic number.

2201022222021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201022222021 is a deficient number, since it is larger than the sum of its proper divisors (1727997332283).

2201022222021 is a wasteful number, since it uses less digits than its factorization.

2201022222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43725810 (or 43725807 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2201022222021 its reverse (1202222201022), we get a palindrome (3403244423043).

The spelling of 2201022222021 in words is "two trillion, two hundred one billion, twenty-two million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 17 21 47 51 63 119 141 153 329 357 423 799 987 1071 2397 2961 5593 7191 16779 50337 43725733 131177199 306080131 393531597 743337461 918240393 2055109451 2230012383 2754721179 5203362227 6165328353 6690037149 14385766157 15610086681 18495985059 34936860667 43157298471 46830260043 104810582001 129471895413 244558024669 314431746003 733674074007 2201022222021