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10332243221 = 172924778461
BaseRepresentation
bin10011001111101100…
…11000010100010101
3222200001221100010212
421213312120110111
5132130023240341
64425131455205
7514020422036
oct114766302425
928601840125
1010332243221
114422311293
1220042b7505
13c887972b1
1470032aa8d
1540713a5eb
hex267d98515

10332243221 has 16 divisors (see below), whose sum is σ = 11323171440. Its totient is φ = 9384238080.

The previous prime is 10332243211. The next prime is 10332243331. The reversal of 10332243221 is 12234223301.

10332243221 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 8 ways, for example, as 1185424900 + 9146818321 = 34430^2 + 95639^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332243221 - 214 = 10332226837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332243211) 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 15 ways as a sum of consecutive naturals, for example, 1216931 + ... + 1225391.

It is an arithmetic number, because the mean of its divisors is an integer number (707698215).

Almost surely, 210332243221 is an apocalyptic number.

It is an amenable number.

10332243221 is a deficient number, since it is larger than the sum of its proper divisors (990928219).

10332243221 is a wasteful number, since it uses less digits than its factorization.

10332243221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10332243221 its reverse (12234223301), we get a palindrome (22566466522).

The spelling of 10332243221 in words is "ten billion, three hundred thirty-two million, two hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 17 29 493 2477 8461 42109 71833 143837 245369 1221161 4171273 20957897 356284249 607779013 10332243221