Search a number
-
+
10001120224 = 25476649681
BaseRepresentation
bin10010101000001110…
…01111101111100000
3221210222212112210011
421110013033233200
5130440241321344
64332222414304
7502560055624
oct112407175740
927728775704
1010001120224
11427240a717
121b31431394
13c34cc0324
146ac375184
153d802ed34
hex2541cfbe0

10001120224 has 24 divisors (see below), whose sum is σ = 20108638368. Its totient is φ = 4894164480.

The previous prime is 10001120221. The next prime is 10001120237. The reversal of 10001120224 is 42202110001.

It is a happy number.

10001120224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120221) 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, 3323337 + ... + 3326344.

It is an arithmetic number, because the mean of its divisors is an integer number (837859932).

Almost surely, 210001120224 is an apocalyptic number.

It is an amenable number.

10001120224 is an abundant number, since it is smaller than the sum of its proper divisors (10107518144).

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

10001120224 is an equidigital number, since it uses as much as digits as its factorization.

10001120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649738 (or 6649730 counting only the distinct ones).

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

Adding to 10001120224 its reverse (42202110001), we get a palindrome (52203230225).

The spelling of 10001120224 in words is "ten billion, one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 6649681 13299362 26598724 53197448 106394896 212789792 312535007 625070014 1250140028 2500280056 5000560112 10001120224