Search a number
-
+
2022101100100 = 225220221011001
BaseRepresentation
bin11101011011001110100…
…111100010011001000100
321011022101200222001201001
4131123032213202121010
5231112230340200400
64144535044143044
7266043356520154
oct35331647423104
97138350861631
102022101100100
1170a62839a474
12287a91697a84
131188b63237b3
146dc27c2a764
15378ed42ba6a
hex1d6ce9e2644

2022101100100 has 18 divisors (see below), whose sum is σ = 4387959387434. Its totient is φ = 808840440000.

The previous prime is 2022101100017. The next prime is 2022101100109. The reversal of 2022101100100 is 10011012202.

It can be written as a sum of positive squares in 3 ways, for example, as 692050954816 + 1330050145284 = 831896^2 + 1153278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2022101100109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10110505401 + ... + 10110505600.

Almost surely, 22022101100100 is an apocalyptic number.

2022101100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022101100100 is an abundant number, since it is smaller than the sum of its proper divisors (2365858287334).

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

2022101100100 is a wasteful number, since it uses less digits than its factorization.

2022101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221011015 (or 20221011008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2022101100100 its reverse (10011012202), we get a palindrome (2032112112302).

The spelling of 2022101100100 in words is "two trillion, twenty-two billion, one hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20221011001 40442022002 80884044004 101105055005 202210110010 404420220020 505525275025 1011050550050 2022101100100