Search a number
-
+
2213122130011 = 132733074991171
BaseRepresentation
bin100000001101001000010…
…110111100000001011011
321211120110021201210210201
4200031020112330001123
5242224433231130021
64412405543523031
7315615141501622
oct40151026740133
97746407653721
102213122130011
11783641823531
122b8b02159477
13130909346800
147918960c6b9
153c87d47a591
hex203485bc05b

2213122130011 has 48 divisors (see below), whose sum is σ = 2444168496000. Its totient is φ = 2002597758720.

The previous prime is 2213122129993. The next prime is 2213122130029. The reversal of 2213122130011 is 1100312213122.

It is an interprime number because it is at equal distance from previous prime (2213122129993) and next prime (2213122130029).

It is not a de Polignac number, because 2213122130011 - 25 = 2213122129979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213122130711) 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 47 ways as a sum of consecutive naturals, for example, 1889941456 + ... + 1889942626.

It is an arithmetic number, because the mean of its divisors is an integer number (50920177000).

Almost surely, 22213122130011 is an apocalyptic number.

2213122130011 is a deficient number, since it is larger than the sum of its proper divisors (231046365989).

2213122130011 is a wasteful number, since it uses less digits than its factorization.

2213122130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2213122130011 its reverse (1100312213122), we get a palindrome (3313434343133).

The spelling of 2213122130011 in words is "two trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty thousand, eleven".

Divisors: 1 13 73 169 307 499 949 1171 3991 6487 12337 15223 22411 36427 51883 84331 85483 153193 197899 291343 359497 473551 584329 1111279 1991509 3787459 4673461 6156163 7596277 11183089 14446627 25889617 26243281 42656017 60754993 98751601 145380157 179389003 341162653 554528221 1889942041 2332057039 4435114489 7208866873 13095397219 30316741507 170240163847 2213122130011