Search a number
-
+
10022402984 = 2311113890943
BaseRepresentation
bin10010101010110000…
…11011101110101000
3221212110220211020112
421111120123232220
5131011213343414
64334302513452
7503236006526
oct112530335650
927773824215
1010022402984
114283426780
121b38595888
13c39532589
146b1115316
153d9d35d3e
hex25561bba8

10022402984 has 16 divisors (see below), whose sum is σ = 20500369920. Its totient is φ = 4555637680.

The previous prime is 10022402981. The next prime is 10022403007. The reversal of 10022402984 is 48920422001.

It is a happy number.

10022402984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10022402984.

It is not an unprimeable number, because it can be changed into a prime (10022402981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 56945384 + ... + 56945559.

It is an arithmetic number, because the mean of its divisors is an integer number (1281273120).

Almost surely, 210022402984 is an apocalyptic number.

It is an amenable number.

10022402984 is an abundant number, since it is smaller than the sum of its proper divisors (10477966936).

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

10022402984 is a wasteful number, since it uses less digits than its factorization.

10022402984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113890960 (or 113890956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 10022402984 its reverse (48920422001), we get a palindrome (58942824985).

The spelling of 10022402984 in words is "ten billion, twenty-two million, four hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 113890943 227781886 455563772 911127544 1252800373 2505600746 5011201492 10022402984