Search a number
-
+
2220300300021 = 313723323185367
BaseRepresentation
bin100000010011110100001…
…101011110111011110101
321212020222112201121220020
4200103310031132323311
5242334133334100041
64415554124555353
7316261053105156
oct40236415367365
97766875647806
102220300300021
117866956aa941
122ba3860b2b59
131314b153269b
147966aaa792d
153cb4d73a866
hex204f435eef5

2220300300021 has 16 divisors (see below), whose sum is σ = 2994807613824. Its totient is φ = 1463089336064.

The previous prime is 2220300300011. The next prime is 2220300300041. The reversal of 2220300300021 is 1200030030222.

It is a cyclic number.

It is not a de Polignac number, because 2220300300021 - 25 = 2220300299989 is a prime.

It is a super-2 number, since 2×22203003000212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220300300011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11496921 + ... + 11688446.

It is an arithmetic number, because the mean of its divisors is an integer number (187175475864).

Almost surely, 22220300300021 is an apocalyptic number.

It is an amenable number.

2220300300021 is a deficient number, since it is larger than the sum of its proper divisors (774507313803).

2220300300021 is a wasteful number, since it uses less digits than its factorization.

2220300300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185740.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2220300300021 its reverse (1200030030222), we get a palindrome (3420330330243).

The spelling of 2220300300021 in words is "two trillion, two hundred twenty billion, three hundred million, three hundred thousand, twenty-one".

Divisors: 1 3 137 233 411 699 31921 95763 23185367 69556101 3176395279 5402190511 9529185837 16206571533 740100100007 2220300300021