Search a number
-
+
210022221101200 = 2452525055552753
BaseRepresentation
bin101111110000001110011011…
…111000100011100010010000
31000112121221001200210012200221
4233300032123320203202100
5210012001002100214300
62022402513145522424
762144414266141534
oct5760163370434220
91015557050705627
10210022221101200
1160a12a185a8612
121b67b868aa3414
13902601a0010a1
1439c11b6009bc4
15194325ec3731a
hexbf039be23890

210022221101200 has 30 divisors (see below), whose sum is σ = 504578386196594. Its totient is φ = 84008888440320.

The previous prime is 210022221101141. The next prime is 210022221101201. The reversal of 210022221101200 is 2101122220012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 52870523948944 + 157151697152256 = 7271212^2 + 12536016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (210022221101201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 262527775977 + ... + 262527776776.

Almost surely, 2210022221101200 is an apocalyptic number.

210022221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022221101200 is an abundant number, since it is smaller than the sum of its proper divisors (294556165095394).

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

210022221101200 is a wasteful number, since it uses less digits than its factorization.

210022221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525055552771 (or 525055552760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210022221101200 its reverse (2101122220012), we get a palindrome (212123343321212).

The spelling of 210022221101200 in words is "two hundred ten trillion, twenty-two billion, two hundred twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 525055552753 1050111105506 2100222211012 2625277763765 4200444422024 5250555527530 8400888844048 10501111055060 13126388818825 21002222110120 26252777637650 42004444220240 52505555275300 105011110550600 210022221101200