Search a number
-
+
22021120020100 = 2252220211200201
BaseRepresentation
bin1010000000111001100010…
…00010010100111010000100
32212222012100201100112121111
411000130301002110322010
510341243223211120400
6114500210214254404
74431654611521405
oct500346102247204
985865321315544
1022021120020100
117020117186593
122577a10657404
13c39776293006
14561b83a639ac
15282c470bc3ba
hex140731094e84

22021120020100 has 18 divisors (see below), whose sum is σ = 47785830443834. Its totient is φ = 8808448008000.

The previous prime is 22021120020091. The next prime is 22021120020101. The reversal of 22021120020100 is 102002112022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 835867690564 + 21185252329536 = 914258^2 + 4602744^2 .

It is not an unprimeable number, because it can be changed into a prime (22021120020101) 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, 110105600001 + ... + 110105600200.

Almost surely, 222021120020100 is an apocalyptic number.

22021120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021120020100 is an abundant number, since it is smaller than the sum of its proper divisors (25764710423734).

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

22021120020100 is a wasteful number, since it uses less digits than its factorization.

22021120020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220211200215 (or 220211200208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22021120020100 its reverse (102002112022), we get a palindrome (22123122132122).

The spelling of 22021120020100 in words is "twenty-two trillion, twenty-one billion, one hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220211200201 440422400402 880844800804 1101056001005 2202112002010 4404224004020 5505280005025 11010560010050 22021120020100