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10305012221 = 729431180549
BaseRepresentation
bin10011001100011101…
…00000000111111101
3222121011200212020022
421212032200013331
5132101040342341
64422320101525
7513240105260
oct114616400775
928534625208
1010305012221
114408a02229
121bb71648a5
13c82c5178a
146da87ccd7
15404a5be4b
hex2663a01fd

10305012221 has 16 divisors (see below), whose sum is σ = 12466608000. Its totient is φ = 8329946688.

The previous prime is 10305012203. The next prime is 10305012227. The reversal of 10305012221 is 12221050301.

It is a happy number.

10305012221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10305012221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10305012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305012227) 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, 581546 + ... + 599003.

It is an arithmetic number, because the mean of its divisors is an integer number (779163000).

Almost surely, 210305012221 is an apocalyptic number.

It is an amenable number.

10305012221 is a deficient number, since it is larger than the sum of its proper divisors (2161595779).

10305012221 is a wasteful number, since it uses less digits than its factorization.

10305012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180628.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10305012221 its reverse (12221050301), we get a palindrome (22526062522).

The spelling of 10305012221 in words is "ten billion, three hundred five million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 29 43 203 301 1247 8729 1180549 8263843 34235921 50763607 239651447 355345249 1472144603 10305012221