Search a number
-
+
2022210100105 = 513137977232433
BaseRepresentation
bin11101011011010101000…
…111010101101110001001
321011022200022001211121021
4131123111013111232021
5231112441241200410
64144553540312441
7266046152145346
oct35332507255611
97138608054537
102022210100105
1170a683978818
12287b020a2721
13118902a98940
146dc384c17cd
1537907caceda
hex1d6d51d5b89

2022210100105 has 32 divisors (see below), whose sum is σ = 2635098679584. Its totient is φ = 1480900509696.

The previous prime is 2022210100087. The next prime is 2022210100129. The reversal of 2022210100105 is 5010010122202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 326123229184 + 1696086870921 = 571072^2 + 1302339^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022210100105 - 27 = 2022210099977 is a prime.

It is a super-2 number, since 2×20222101001052 (a number of 25 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8583969 + ... + 8816401.

It is an arithmetic number, because the mean of its divisors is an integer number (82346833737).

Almost surely, 22022210100105 is an apocalyptic number.

It is an amenable number.

2022210100105 is a deficient number, since it is larger than the sum of its proper divisors (612888579479).

2022210100105 is a wasteful number, since it uses less digits than its factorization.

2022210100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233565.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 2022210100105 its reverse (5010010122202), we get a palindrome (7032220222307).

The spelling of 2022210100105 in words is "two trillion, twenty-two billion, two hundred ten million, one hundred thousand, one hundred five".

Divisors: 1 5 13 65 137 685 977 1781 4885 8905 12701 63505 133849 232433 669245 1162165 1740037 3021629 8700185 15108145 31843321 159216605 227087041 413963173 1135435205 2069815865 2952131533 14760657665 31110924617 155554623085 404442020021 2022210100105