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22105135105 = 517260060413
BaseRepresentation
bin10100100101100100…
…011001100000000001
32010001112201012201121
4110211210121200001
5330232403310410
614053245432241
71411533356014
oct244544314001
963045635647
1022105135105
1194138551a9
12434ab6b681
132113872c01
1410d9b0b37b
158959999da
hex525919801

22105135105 has 8 divisors (see below), whose sum is σ = 28086524712. Its totient is φ = 16643866368.

The previous prime is 22105135093. The next prime is 22105135109. The reversal of 22105135105 is 50153150122.

It can be written as a sum of positive squares in 4 ways, for example, as 211789809 + 21893345296 = 14553^2 + 147964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22105135105 - 219 = 22104610817 is a prime.

It is a super-2 number, since 2×221051351052 (a number of 21 digits) contains 22 as substring.

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 22105135105.

It is not an unprimeable number, because it can be changed into a prime (22105135109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130030122 + ... + 130030291.

It is an arithmetic number, because the mean of its divisors is an integer number (3510815589).

Almost surely, 222105135105 is an apocalyptic number.

It is an amenable number.

22105135105 is a deficient number, since it is larger than the sum of its proper divisors (5981389607).

22105135105 is a wasteful number, since it uses less digits than its factorization.

22105135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260060435.

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 22105135105 its reverse (50153150122), we get a palindrome (72258285227).

It can be divided in two parts, 2210 and 5135105, that added together give a palindrome (5137315).

The spelling of 22105135105 in words is "twenty-two billion, one hundred five million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 5 17 85 260060413 1300302065 4421027021 22105135105