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10111323221 = 73233594469
BaseRepresentation
bin10010110101010111…
…01000110001010101
3222002200020102212122
421122223220301111
5131201444320341
64351200425325
7505365554306
oct113253506125
928080212778
1010111323221
11431963a87a
121b62318245
13c51a96bbc
146bcc607ad
153e2a4c94b
hex25aae8c55

10111323221 has 8 divisors (see below), whose sum is σ = 10293842520. Its totient is φ = 9929993472.

The previous prime is 10111323203. The next prime is 10111323241. The reversal of 10111323221 is 12232311101.

10111323221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 357588100 + 9753735121 = 18910^2 + 98761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111323221 - 222 = 10107128917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111323221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111323241) 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 7 ways as a sum of consecutive naturals, for example, 280226 + ... + 314243.

It is an arithmetic number, because the mean of its divisors is an integer number (1286730315).

Almost surely, 210111323221 is an apocalyptic number.

It is an amenable number.

10111323221 is a deficient number, since it is larger than the sum of its proper divisors (182519299).

10111323221 is an equidigital number, since it uses as much as digits as its factorization.

10111323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594775.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10111323221 its reverse (12232311101), we get a palindrome (22343634322).

The spelling of 10111323221 in words is "ten billion, one hundred eleven million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 73 233 17009 594469 43396237 138511277 10111323221