Search a number
-
+
22222122101 = 1725113014003
BaseRepresentation
bin10100101100100010…
…101010110001110101
32010100200211202201022
4110230202222301311
5331002330401401
614113025110525
71414453630664
oct245442526165
963320752638
1022222122101
119473899273
124382188445
132131b8359a
14110b480ddb
158a0da771b
hex52c8aac75

22222122101 has 16 divisors (see below), whose sum is σ = 23647111488. Its totient is φ = 20810400000.

The previous prime is 22222122079. The next prime is 22222122107. The reversal of 22222122101 is 10122122222.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22222122101 - 230 = 21148380277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22222122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222122107) 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 15 ways as a sum of consecutive naturals, for example, 5549366 + ... + 5553368.

It is an arithmetic number, because the mean of its divisors is an integer number (1477944468).

Almost surely, 222222122101 is an apocalyptic number.

It is an amenable number.

22222122101 is a deficient number, since it is larger than the sum of its proper divisors (1424989387).

22222122101 is a wasteful number, since it uses less digits than its factorization.

22222122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22222122101 its reverse (10122122222), we get a palindrome (32344244323).

The spelling of 22222122101 in words is "twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 17 251 1301 4003 4267 22117 68051 326551 1004753 5207903 5551367 17080801 88534351 1307183653 22222122101