Search a number
-
+
2122103221011 = 33173454314541
BaseRepresentation
bin11110111000010111001…
…101010110101100010011
321111212112000121011022000
4132320113031112230103
5234232031411033021
64302514124445043
7306213460521114
oct36702715265423
97455460534260
102122103221011
11748a84a43a94
122a33400a9783
131251623c66c7
14749d328020b
153a302934b26
hex1ee17356b13

2122103221011 has 16 divisors (see below), whose sum is σ = 3162029212320. Its totient is φ = 1406557815840.

The previous prime is 2122103220947. The next prime is 2122103221037. The reversal of 2122103221011 is 1101223012212.

2122103221011 is a `hidden beast` number, since 21 + 221 + 0 + 322 + 101 + 1 = 666.

It is not a de Polignac number, because 2122103221011 - 26 = 2122103220947 is a prime.

It is a super-2 number, since 2×21221032210112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122103226011) 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, 227152600 + ... + 227161941.

It is an arithmetic number, because the mean of its divisors is an integer number (197626825770).

Almost surely, 22122103221011 is an apocalyptic number.

2122103221011 is a deficient number, since it is larger than the sum of its proper divisors (1039925991309).

2122103221011 is a wasteful number, since it uses less digits than its factorization.

2122103221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454314723 (or 454314717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122103221011 its reverse (1101223012212), we get a palindrome (3223326233223).

The spelling of 2122103221011 in words is "two trillion, one hundred twenty-two billion, one hundred three million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 27 173 519 1557 4671 454314541 1362943623 4088830869 12266492607 78596415593 235789246779 707367740337 2122103221011