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4201334313 = 311296179911
BaseRepresentation
bin1111101001101011…
…0100011000101001
3101211210112220012120
43322122310120221
532101020144223
61532521101453
7206053516041
oct37232643051
911753486176
104201334313
1118665a8720
12993027889
1351c555147
142bbda2721
15198c94be3
hexfa6b4629

4201334313 has 64 divisors (see below), whose sum is σ = 6513868800. Its totient is φ = 2384928000.

The previous prime is 4201334311. The next prime is 4201334317. The reversal of 4201334313 is 3134331024.

It is not a de Polignac number, because 4201334313 - 21 = 4201334311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4201334311) 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 63 ways as a sum of consecutive naturals, for example, 4611328 + ... + 4612238.

It is an arithmetic number, because the mean of its divisors is an integer number (101779200).

Almost surely, 24201334313 is an apocalyptic number.

It is an amenable number.

4201334313 is a deficient number, since it is larger than the sum of its proper divisors (2312534487).

4201334313 is a wasteful number, since it uses less digits than its factorization.

4201334313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 4201334313 is about 64817.7006148783. The cubic root of 4201334313 is about 1613.5994865704.

Adding to 4201334313 its reverse (3134331024), we get a palindrome (7335665337).

The spelling of 4201334313 in words is "four billion, two hundred one million, three hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 11 29 33 61 79 87 183 237 319 671 869 911 957 1769 2013 2291 2607 2733 4819 5307 6873 10021 14457 19459 25201 26419 30063 53009 55571 58377 71969 75603 79257 139751 159027 166713 215907 290609 419253 611281 791659 871827 1537261 1611559 1833843 2087101 2374977 4390109 4611783 4834677 6261303 13170327 17727149 22958111 48291199 53181447 68874333 127313161 144873597 381939483 1400444771 4201334313