Search a number
-
+
210011234432 = 275936775773
BaseRepresentation
bin1100001110010110100…
…1010010000010000000
3202002002001012002100212
43003211221102002000
511420100334000212
6240251113333252
721113163016256
oct3034551220200
9662061162325
10210011234432
118107995986a
1234850407228
1316a5b44102c
14a24392a5d6
1556e2300e22
hex30e5a52080

210011234432 has 64 divisors (see below), whose sum is σ = 426637929600. Its totient is φ = 102943233024.

The previous prime is 210011234431. The next prime is 210011234443. The reversal of 210011234432 is 234432110012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 210011234398 and 210011234407.

It is not an unprimeable number, because it can be changed into a prime (210011234431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733698 + ... + 2809470.

It is an arithmetic number, because the mean of its divisors is an integer number (6666217650).

Almost surely, 2210011234432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213318964800).

210011234432 is an abundant number, since it is smaller than the sum of its proper divisors (216626695168).

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

210011234432 is an equidigital number, since it uses as much as digits as its factorization.

210011234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76213 (or 76201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 210011234432 its reverse (234432110012), we get a palindrome (444443344444).

The spelling of 210011234432 in words is "two hundred ten billion, eleven million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 367 472 734 944 1468 1888 2936 3776 5872 7552 11744 21653 23488 43306 46976 75773 86612 151546 173224 303092 346448 606184 692896 1212368 1385792 2424736 2771584 4470607 4849472 8941214 9698944 17882428 27808691 35764856 55617382 71529712 111234764 143059424 222469528 286118848 444939056 572237696 889878112 1640712769 1779756224 3281425538 3559512448 6562851076 13125702152 26251404304 52502808608 105005617216 210011234432