Search a number
-
+
22153106105 = 513340817017
BaseRepresentation
bin10100101000011011…
…011001001010111001
32010011212222101120022
4110220123121022321
5330332143343410
614102121540225
71412655203114
oct245033311271
963155871508
1022153106105
11943893a559
124363044675
13212079a910
14110223757b
15899cc3455
hex5286d92b9

22153106105 has 8 divisors (see below), whose sum is σ = 28628629512. Its totient is φ = 16359216768.

The previous prime is 22153106093. The next prime is 22153106117. The reversal of 22153106105 is 50160135122.

It is an interprime number because it is at equal distance from previous prime (22153106093) and next prime (22153106117).

It can be written as a sum of positive squares in 4 ways, for example, as 173264569 + 21979841536 = 13163^2 + 148256^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22153106105 is a prime.

It is a super-2 number, since 2×221531061052 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 170408444 + ... + 170408573.

It is an arithmetic number, because the mean of its divisors is an integer number (3578578689).

Almost surely, 222153106105 is an apocalyptic number.

It is an amenable number.

22153106105 is a deficient number, since it is larger than the sum of its proper divisors (6475523407).

22153106105 is a wasteful number, since it uses less digits than its factorization.

22153106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340817035.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 22153106105 in words is "twenty-two billion, one hundred fifty-three million, one hundred six thousand, one hundred five".

Divisors: 1 5 13 65 340817017 1704085085 4430621221 22153106105