Search a number
-
+
221000120000 = 2654111014973
BaseRepresentation
bin1100110111010010100…
…0100011011011000000
3210010102212201022110122
43031310220203123000
512110102012320000
6245305343315412
721652406011442
oct3156450433300
9703385638418
10221000120000
11857a8896180
12369b85abb68
1317abcc7679a
14a9a7146492
155b36de7085
hex3374a236c0

221000120000 has 280 divisors, whose sum is σ = 603867912912. Its totient is φ = 79552000000.

The previous prime is 221000119973. The next prime is 221000120017. The reversal of 221000120000 is 21000122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 221000120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44437514 + ... + 44442486.

Almost surely, 2221000120000 is an apocalyptic number.

221000120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301933956456).

221000120000 is an abundant number, since it is smaller than the sum of its proper divisors (382867792912).

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

221000120000 is a wasteful number, since it uses less digits than its factorization.

221000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5092 counting only the distinct ones).

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

Adding to 221000120000 its reverse (21000122), we get a palindrome (221021120122).

The spelling of 221000120000 in words is "two hundred twenty-one billion, one hundred twenty thousand".