Search a number
-
+
22210111120100 = 2252222101111201
BaseRepresentation
bin1010000110011001100011…
…10010001010001011100100
32220122021011211110011100212
411003030301302022023210
510402342301421320400
6115123103441354552
74451425154414141
oct503146162121344
986567154404325
1022210111120100
117093289790222
1225a8575338a58
13c5153488c877
1456ad919d93c8
15287b08ce5335
hex143331c8a2e4

22210111120100 has 18 divisors (see below), whose sum is σ = 48195941130834. Its totient is φ = 8884044448000.

The previous prime is 22210111120081. The next prime is 22210111120159. The reversal of 22210111120100 is 102111101222.

It can be written as a sum of positive squares in 3 ways, for example, as 61020856576 + 22149090263524 = 247024^2 + 4706282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111050555501 + ... + 111050555700.

Almost surely, 222210111120100 is an apocalyptic number.

22210111120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210111120100 is an abundant number, since it is smaller than the sum of its proper divisors (25985830010734).

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

22210111120100 is a wasteful number, since it uses less digits than its factorization.

22210111120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222101111215 (or 222101111208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22210111120100 its reverse (102111101222), we get a palindrome (22312222221322).

The spelling of 22210111120100 in words is "twenty-two trillion, two hundred ten billion, one hundred eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222101111201 444202222402 888404444804 1110505556005 2221011112010 4442022224020 5552527780025 11105055560050 22210111120100