Search a number
-
+
21211222221112 = 2371134433802307
BaseRepresentation
bin1001101001010100111110…
…10111011010000100111000
32210002202212112202111221011
410310222133113122010320
510240011040342033422
6113040145001523304
74316313601024510
oct464523727320470
983082775674834
1021211222221112
1168386a0a71a30
122466a634a3534
13bab295860761
145348b2d80840
1526bb44da9077
hex134a9f5da138

21211222221112 has 32 divisors (see below), whose sum is σ = 49584675323520. Its totient is φ = 8264112553440.

The previous prime is 21211222221067. The next prime is 21211222221131. The reversal of 21211222221112 is 21112222211212.

It is a super-2 number, since 2×212112222211122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17216900538 + ... + 17216901769.

It is an arithmetic number, because the mean of its divisors is an integer number (1549521103860).

Almost surely, 221211222221112 is an apocalyptic number.

21211222221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211222221112 is an abundant number, since it is smaller than the sum of its proper divisors (28373453102408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211222221112 is a wasteful number, since it uses less digits than its factorization.

21211222221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433802331 (or 34433802327 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 21211222221112 its reverse (21112222211212), we get a palindrome (42323444432324).

The spelling of 21211222221112 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 34433802307 68867604614 137735209228 241036616149 275470418456 378771825377 482073232298 757543650754 964146464596 1515087301508 1928292929192 2651402777639 3030174603016 5302805555278 10605611110556 21211222221112