Search a number
-
+
10112220000 = 25325456179
BaseRepresentation
bin10010110101011110…
…00011101101100000
3222002201221000000200
421122233003231200
5131202212020000
64351231545200
7505406310651
oct113257035540
928081830020
1010112220000
11431a0a2613
121b6268b200
13c5201c13c
146bd015528
153e2b78500
hex25abc3b60

10112220000 has 180 divisors, whose sum is σ = 35934919020. Its totient is φ = 2696544000.

The previous prime is 10112219993. The next prime is 10112220017. The reversal of 10112220000 is 2221101.

10112220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 151911 + ... + 208089.

It is an arithmetic number, because the mean of its divisors is an integer number (199638439).

Almost surely, 210112220000 is an apocalyptic number.

10112220000 is a gapful number since it is divisible by the number (10) 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 10112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967459510).

10112220000 is an abundant number, since it is smaller than the sum of its proper divisors (25822699020).

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

10112220000 is an equidigital number, since it uses as much as digits as its factorization.

10112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56215 (or 56189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10112220000 its reverse (2221101), we get a palindrome (10114441101).

The spelling of 10112220000 in words is "ten billion, one hundred twelve million, two hundred twenty thousand".