Search a number
-
+
2100012220100 = 225221000122201
BaseRepresentation
bin11110100011110010011…
…110110111111011000100
321102202111110111001001002
4132203302132313323010
5233401311112020400
64244422101552432
7304502155230464
oct36436236677304
97382443431032
102100012220100
1173a679173043
1229abb5a15718
13123051762032
14738d93b1ba4
153995d32ced5
hex1e8f27b7ec4

2100012220100 has 18 divisors (see below), whose sum is σ = 4557026517834. Its totient is φ = 840004888000.

The previous prime is 2100012220093. The next prime is 2100012220109. The reversal of 2100012220100 is 10222100012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 100208967364 + 1999803252736 = 316558^2 + 1414144^2 .

It is not an unprimeable number, because it can be changed into a prime (2100012220109) 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, 10500061001 + ... + 10500061200.

Almost surely, 22100012220100 is an apocalyptic number.

2100012220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100012220100 is an abundant number, since it is smaller than the sum of its proper divisors (2457014297734).

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

2100012220100 is a wasteful number, since it uses less digits than its factorization.

2100012220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000122215 (or 21000122208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100012220100 its reverse (10222100012), we get a palindrome (2110234320112).

The spelling of 2100012220100 in words is "two trillion, one hundred billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21000122201 42000244402 84000488804 105000611005 210001222010 420002444020 525003055025 1050006110050 2100012220100